Find the volume of the figure. Round your answer to the nearest tenth if necessary. Use 3.14 for T.
A cylinder has a radius of 7 meters and a height of 3 meters.
The volume of the cylinder is approximately
m³.

Answers

Answer 1

Answer:

[tex]\boxed{ \rm \: Volume_{(Cylinder)} \approx \: 461.6 \: {m}^{3} } \rm (rounded \: to \: nearest \: tenth)[/tex]

Step-by-step explanation:

Given dimensions:

Radius of the cylinder = 7 metresHeight of the cylinder = 3 metres

Given value of π :

π = 3.14

To find:

The Volume of the cylinder

Solution:

Here, we'll need to use the formulae of the volume of cylinder,to find it's volume.Its actually like a savior while solving these type of questions.

[tex] \pink{\star}\boxed{\rm \: Volume_{(Cylinder)} = \pi{r} {}^{2} h}\pink{\star}[/tex]

where,

π = 3.14r² = (radius)²h = height

Plug/substitute them onto the formulae,then simplify it using PEMDAS.

[We'll substitute the value of π later]

[tex] \rm \: Volume_{(Cylinder)} = \pi(7) {}^{2} \times 3[/tex]

[tex] \rm \: Volume_{(Cylinder)} = \pi(49)(3)[/tex]

[tex] \rm \: Volume_{(Cylinder)} = 147\pi \: [/tex]

Now substitute the value of π.

[tex] \rm \: Volume_{(Cylinder)} = 147 \times 3.14[/tex]

[tex] \rm \: Volume_{(Cylinder)} = 461.58 \: {m}^{3} [/tex]

[tex] \boxed{\rm \: Volume_{(Cylinder)} \approx \: 461.6 \: {m}^{3}} \rm (rounded \: to \: nearest \: tenth) \: [/tex]

Hence, we can conclude that:

The volume of the cylinder is approximately

461.6 .

[tex] \rule{225pt}{2pt}[/tex]


Related Questions

please help 35 points!!

Answers

Answer:

67m²

Step-by-step explanation:

12m + 6m + 4m + 36 m 8m = 67m²

maria has 2 5/6 yard of fabric Jessica has 3 1/6 yards of fabric how much do they have altogether

Answers

Answer:

Step-by-step explanation:

Uhm it's confusing somehow mind helping?

Answers

Answer:

yo can maybe try converting those to every possible answer and you can find the answer that way.

Step-by-step explanation:

Find x to the equation

Answers

1.85 or 1.9 i believe will be the answer

Help please!
Select the correct answer.

Answers

The answer to your problem is letter B
The answer to your problem is b

Triangles 3 and 4 are identical. They are joined in the poster to form a square. Construct a math argument to show why triangles 3 and 4 are isosceles right angles.

Answers

Triangles 3 and 4 are isosceles right angles because they have same length.

How to explain the triangle?

It should be noted be noted that the square has all right angles equal. The largest angle of the triangle is the right angle m.

Here, the triangles are isosceles right angles as both the legs and the acute angles are congruent.

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The regular price of a CN Tower Souvenir was $32, During its sale, The price was reduced down by $24, Find the percent discount

Answers

Answer:

Discount of 25%

Step-by-step explanation:

To find the percent discount, subtract the big number minus small number then divide by the original number.

[tex]\frac{32-24}{32}[/tex]

[tex]\frac{8}{32} \\[/tex]

Reduce

[tex]\frac{1}{4}[/tex]

Change to a decimal by dividing

1/4 = 0.25

Change to a percent by moving the decimal two places right.

0.25 -----> 25%

Write the prime for factorization of 4

Answers

Answer:

2×2 mark me brainlist

4divided by 22×2

Buying rental property is an investment option that carries a higher risk than some other options. However, the returns can be good. Assume you have purchased a single-
family home that you intend to rent for $850 per month. You will have the following expenses:
Monthly mortgage $390
Monthly insurance $70
Semi annual property taxes $380
Repairs (yearly estimate) $500
Monthly lawn care or snow removal $125
The total yearly expenses for the rental property will be_____.00.

Answers

Based on the expenses involved in running the property, and the rental amount, the return on the investment would be 18.82%.

What is the return on investment?

The ratio of net income to investment is known as return on investment (ROI). A high return on investment (ROI) indicates that the investment's benefits outweigh its cost.

ROI is a performance indicator that is used to assess an investment's effectiveness or to compare the efficiencies of several distinct investments.

First, find the amount earned per year:

= 850 x 12

= $10,200

The yearly expenses would be:

= (390 x 12) + (70 x 12) + (380 x 2) + 500 + (125 x 12)

= 4,680 + 840+ 760+ 500 + 1500

= $8280

The annual ROI is:

ROI= (10,200 - 8280) / 10,200 x 100%

ROI = 18.82%

Therefore the expenses involved in running the property, and the rental amount, the return on the investment would be 18.82%.

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the zeros of the function f(x) = x² + 5x - 6 are show your work

Answers

Answer:

x = - 6 , x = 1

Step-by-step explanation:

to find the zeros let f(x) = 0 , that is

x² + 5x - 6 = 0

consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term ( + 5)

the factors are + 6 and - 1 , since

6 × - 1 = - 6 and 6 - 1 = + 5 , then

(x + 6)(x - 1) = 0 ← in factored form

equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

x - 1 = 0 ⇒ x = 1

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

3^5

Step-by-step explanation:

exponents:

1 - ( - 4 ) = 5

Therefore,

3^5

A number multiplied by third of itself makes the product 10584, what is the number ?​

Answers

Answer:

-15876

Step-by-step explanation:

|correct me if I'm not correct|

(Hope it's Help)

[keep safe]

The number is 15876

What is Number system?

Number systems are systems in mathematics that are used to express numbers in various forms and are understood by computers. A number is a mathematical value used for counting and measuring objects, and for performing arithmetic calculations. Numbers have various categories like natural numbers, whole numbers, rational and irrational numbers, and so on. Similarly, there are various types of number systems that have different properties, like the binary number system, the octal number system, the decimal number system, and the hexadecimal number system.

What are Number Systems?

A number system is a system representing numbers. It is also called the system of numeration and it defines a set of values to represent a quantity. These numbers are used as digits and the most common ones are 0 and 1, that are used to represent binary numbers. Digits from 0 to 9 are used to represent other types of number systems.

Given number:

10584

So, the number multiplied by the third of itself

x* 2/3 = 10584

x= 10584* 3/2

x= 15876

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write 25.59 in scientific notation

Answers

Answer:

2.559 × 10 to the 1st power

Step-by-step explanation:

using a SNC

Answer:

2.559 * 10^1

Step-by-step explanation:

Rules of scientific notation (that I always remember)

    - the number must be between 1 and 9

    - if number gets smaller, exponent gets bigger; if number gets bigger, exponents gets smaller

25.59 is bigger than 9 so we move the decimal one place value to the left

and the number gets smaller meaning the exponent increases

Please solve (21 points)

Answers

Answer:

he width of the ravin is 47

find the 44th term in the following arithmetic sequence

2,3,4,5,....

Answers

Answer:

the answer is 45

Step-by-step explanation:

the answer is 384

Step-by-step explanation:

a1 = 2, a2 = 3, a3 = 4,

an = ?

n = 44

d = a2 - a1 = 3 - 2 = 1

d = a3 - a2 = 4 - 3 = 1

Here, the common difference is the same everywhere

So,

[tex] a_{n} = a + (n - 1) \times d[/tex]

[tex]a_{44} = 2 + (44 - 1) \times 1[/tex]

[tex]a_{44} = 2 + 43[/tex]

[tex]a_{44} = 45[/tex]


Which algebraic expression is equivalent to the expression below?

3(5x + 7)-6(4- 2x)

Answers

3(5x+7)-6(4-2x) - given

15x+21-24+12x - distributive property

27x-3 - combine like terms

A total of 388 tickets were sold for the school play they were either adult tickets or student tickets the number of student tickets sold was three times the number of adult tickets sold how many adult tickets were sold

Answers

Answer:

97

Step-by-step explanation:

Number of adult tickets = a.

Number of student tickets = s.

"A total of 388 tickets were sold"

a + s = 388

"the number of student tickets sold was three times the number of adult tickets sold"

s = 3a

a + s = 388

s = 3a

Substitute s in the first equation with 3a.

a + 3a = 388

4a = 388

a = 97

Answer: 97 tickets

A prism has three times the volume of a pyramid with the same base and altitude.
O
A. True
O
B. False

Answers

Answer:

I believe it's true. Good Luck! :)

Step-by-step explanation:

Explain why the "+ C" is not needed in the antiderivative when evaluating a definite integral.

Answers

The reason the "+ C" is not needed in the antiderivative when evaluating a definite integral is; The C's cancel each other out as desired.

How to represent Integrals?

Let us say we want to estimate the definite integral;

I = [tex]\int\limits^a_b {f'(x)} \, dx[/tex]

Now, for any C, f(x) + C is an antiderivative of f′(x).

From fundamental theorem of Calculus, we can say that;

[tex]I = \int\limits^a_b {f'(x)} \, dx = \phi(a) - \phi(b)[/tex]

where Ф(x) is any antiderivative of f'(x). Thus, Ф(x) = f(x) + C would not work because the C's will cancel each other.

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1 + 3 + 5 + A+9 divide by 5​

Answers

Answer:

1 + 3 + 5 + A+9 divide by 5​

Step-by-step explanation:

what's the answer to this

Answers

Answer:

AC ≈ 17.3 , BC ≈ 5.3

Step-by-step explanation:

using the tangent ratio in right triangle ACD

tan51° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{AD}[/tex] = [tex]\frac{AC}{14}[/tex] ( multiply both sides by 14 )

14 × tan51° = AC , then

AC ≈ 17.3 ( to the nearest tenth )

using the cosine ratio in right triangle ABC

cos72° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{17.3}[/tex] ( multiply both sides by 17.3 )

17.3 × cos72° = BC , then

BC ≈ 5.3 ( to the nearest tenth )

The Niagara Falls ferris wheel has a diameter of 48 meters, and one revolution takes 2.25 minutes to complete. Riders can see Niagara falls if they are higher than 41 meters above the ground. What are the time intervals when the rider can see Niagara Falls if they complete 3 complete revolutions, if the rider gets on at a height of 0.5 m at t=0 min?

Answers

The time intervals when the riders could see Niagara falls are; 0.834 < t < 1.416 and (3.084, 3.666)

How to interpret Cycle Graphs?

From the diagram attached, we can say that;

Period = 2π/k

where;

k = 2π/2.25

k = 8π/9

Thus;

h(t) = -(48/2) cos (8π/9)t + ((48/2) + 0.5)

h(t) = -24cos (8π/9)t + 24.5

Riders can see Niagara falls if they are higher than 41 meters above the ground. Thus;

41 = -24cos (8π/9)t + 24.5

41 - 24.5 = -24cos (8π/9)t

16.5 = -24cos (8π/9)t

-0.6875 = cos (8π/9)t

cos⁻¹0.6875 = (8π/9)t

t = 0.834 min

Thus, time interval is between;

0.834 < t < (2.25 - 0.834)

⇒ 0.834 < t < 1.416 and

(2.25 + 0.834) < t < (2.25 + 1.416)

⇒ (3.084, 3.666)

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27 As shown in the diagram below, secants PWR and PTS are drawn to circle O from external point P.
12/
O.
W
T
P5
If m/RPS = 35°and mRS = 121°, determine and state mWT.

Answers

By applying the Theorem of Intersecting Secant, the measure of angle WT is equal to 51°.

How to determine angle m<WT?

By critically observing the geometric shapes shown in the image attached below, we can deduce that they obey the Theorem of Intersecting Secants.

What is the Theorem of Intersecting Secants?

The Theorem of Intersecting Secants states that when two (2) lines intersect outside a circle, the measure of the angle formed by these lines is equal to one-half (½) of the difference of the two (2) arcs it intercepts.

By applying the Theorem of Intersecting Secant, angle P will be given by this formula:

m<P = ½ × (m<RS - m<WT)

Substituting the given parameters into the formula, we have;

35 = ½ × (121 - m<WT)

70 = 121 - m<WT

m<WT = 121 - 70

m<WT = 51°.

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It takes Kenesha 45 minutes to prepare 20 greeting cards. It takes Paula 30 minutes to prepare the same number of cards. Working together at this rate, how long will it take them to prepare the cards?

Answers

Using the together rate, it is found that it will take them 18 minutes to prepare the cards working together.

What is the together rate?

The together rate is the sum of each separate rate.

In this problem:

The together rate is of 1/x.Kenesha's rate is of 1/45.Paula's rate is of 1/30.

Hence, the time it will take for them to make the cards is given by:

[tex]\frac{1}{x} = \frac{1}{45} + \frac{1}{30}[/tex]

[tex]\frac{1}{x} = \frac{5}{90}[/tex]

5x = 90

x = 18 minutes.

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convert the following equation into standard form y=-5x/8 + 3

Answers

The answer is 5x-8y= -24

solve for b

−9b)+b=2b−(b+1)

Answers

Answer:

[tex]b = \frac{1}{9}[/tex]

Step-by-step explanation:

-9b + b = 2b - (b + 1)

Let's simplify by taking out the parenthesis.

-9b + b = 2b - b - 1

Now, we add like terms.

-8b = b - 1

Now, let's subtract b from both sides of the equal sign in order to isolate b.

-8b - b = b - 1 - b

Simplify!  

-9b = -1

Divide both sides by -9.

-9b ÷ b = -1 ÷ -9

Simplify.

[tex]b = \frac{1}{9}[/tex]

Answer:

[tex]b = \frac{1}{9} [/tex]

Step-by-step explanation:

[tex] - 9b + b = 2b - (b + 1) [/tex]

Solve the brackets.

[tex] - 9b + b = 2b - b - 1[/tex]

Combine like terms.

[tex] - 8b = b - 1[/tex]

Take b to the left side.

[tex] - 8b - b = - 1[/tex]

Combine like terms.

[tex] - 9b = - 1[/tex]

Divide both sides by -9.

[tex] \frac{ - 9b}{ - 9} = \frac{ - 1}{ - 9} \\ b = \frac{1}{9} [/tex]

A tower that is 125 feet tall casts a shadow 173 feet long find the angle of elevation of the sun to the nearest degree

Answers

Applying the tangent ratio, the angle of elevation of the sun, to the nearest degree, is: 36°.

What is the Tangent Ratio?

In a right triangle, tan ∅ = opposite length / adjacent length is the tangent ratio.

Given the following:

Angle of elevation = ∅ Opposite length = 125 ftAdjacent length = 172 ft

Apply the tangent ratio:

tan ∅ = 125/172

tan ∅ = 125/172

∅ = tan^(-1)(125/172)

∅ ≈ 36°

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in a class there are 8 students who play football and cricket, 4 students who do not play football or cricket,14 students who play football and 20 students who play cricket
find the probability that a student chosen at random plays football or cricket or both

Answers

The probability to that the student chosen plays football or cricket or both is;

What is the probability that the chosen student play at least one of football and cricket?

To evaluate the required probability, one must determine the total number of students in the class as follows;

Total number of students = 4 + 8 + (14-8) + (20-8) = 30.

Hence, the required probability is; (30-4)/30 = 26/30 = 13/15.

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please help me with thiss

Answers

okay be t gowns won wkw89 wow

Answer:

the fourth option is correct

Step-by-step explanation:

the first equation represents that the cost of 6 bananas is the same as the cost of nine apples. therefore, y is the cost of a single banana and x is the cost of a single apple. the second equation represents the situation of you buying 4 bananas and 2 apples for $8. If x and y represent the cost of each fruit, then the point (x,y) = (1,1.5) means that x, the cost of an apple, is $1.00 and that y, the cost of a banana, is $1.50.

Someone, please help!! if u actually know how to do it

Answers

Answer:

[tex]distance=\sqrt{(-2-(-5))^{2} +(6-(-10))^{2}}[/tex]

distance = 16.2788

Step-by-step explanation:

This question is asking you to correctly apply the distance formula. This formula determines the straight line distance between two points by applying Pythagorean's Theorem ([tex]h = \sqrt{x^{2}+y^{2} }[/tex]). The distance formula can be thought of as [tex]distance=\sqrt{(x_{1}-x_{2})^{2} +(y_{1}-y_{2})^{2}}[/tex]. It doesn't matter which order you put your coordinates into the equation as long as it's the square root of the change in x-coordinates squared + change in y-coordinates squared.

Step 1: change in x-coordinates

x1 = -2

x2 = -5

x1 - x2 = -2 - (-5) = 3

Step 2: change in y-coordinates

y1 = 6

y2 = -10

y1 - y2 = 6 - (-10) = 16

Step 3: plug into distance formula

[tex]distance=\sqrt{(-2-(-5))^{2} +(6-(-10))^{2}}[/tex]

[tex]distance=\sqrt{(3)^{2} +(16)^{2}}[/tex]

[tex]distance=\sqrt{9 +256}[/tex]

[tex]distance=\sqrt{265}[/tex]

distance = 16.2788

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