A cylinder has a radius of 12 m and a height of 9 m.

What is the exact volume of the cylinder?


108π m³

216π m³

972π m³

1296π m³

Answers

Answer 1

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=12\\ h=9 \end{cases}\implies V=\pi (12)^2(9)\implies V=1296\pi ~m^3[/tex]


Related Questions

Simplify the following.
a) 3×a×2× b​

Answers

Answer:

first multiply numbrrs3*2=6ab

Simplify 3xa2xb equals 6b

A carpenter has a board that is 8 feet long. He cuts off 2 pieces. One piece is 3 1/2 feet long and the other is 2 1/3 feet long. How much of the board is left? IM SO SORRY THIS QUESTION ISN’T MULTIPLE CHOICE PLS FORGIVE ME

Answers

Answer:

2 1/6

Step-by-step explanation:

The answer is 2 1/6 because you should start by adding 3 1/2 + 2 1/3. This equals 5 5/6 feet. You should then subtract 8 - 5 5/6 because you are figuring out how much is left. When you subtract 8 - 5 5/6, you get 2 1/6. So 2 1/6 feet of the board is left.

Hope this helps!

What is the speed in m/s of a car that travels 30 km in 20 m?

Answers

Answer:

25m/s

Step-by-step explanation:

distance = 30km = 30× 1000m

time = 20 min = 20 × 60 = 1200sec

we know,

speed = distance/time taken

= 30000/1200

= 25m/s

The volume of a cone is 736.853 cubic
inches. The height is 11 inches. Calculate the
diameter of the cone.

Answers

diameter of the cone=15.8inches

What is the first step in constructing an incenter to triangle xyz?

Answers

The first step is constructing an angle bisector for one of the angles of the triangle.

We have to find the first step for the constructing an inscribed circle

What is the incenter triangle?

The incenter of a triangle is the point from which the distances to the sides are equal, in this point we can start to construct the inscribed circle in the triangle because the incenter would also be the center of the circumference.

Therefore the first step in constructing an angle bisector for one of the angles of the triangle.

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Answer:

Construct the angle bisector of angle Y.

Step-by-step explanation:

I just took the test and got the answer correct :)

A tabletop has an area of 12 square feet and a perimeter of 16 ft. What are the dimensions of the table?

Answers

2 ft by 6

Dure hope this helps you

Answer: 2ft by 6

hope this helps

Janelle babysat for 6 hours at an hourly rate. After she got paid she spent $12 at Walmart. She came home with $36. How much money did she make per hour?


Please explain with steps :)

Answers

Answer:

$8/hour

Step-by-step explanation:

We will start by finding how much money she made before spending it. The amount of money she took home added to how much money she spent will give us this. ([tex]12 + 36 = 48[/tex]). This means she made $48 before spending it.

Now we can solve for her wage. Let [tex]x[/tex] be her hourly wage

(the 6 is the number of hours she worked, this multiplied by her wage should give us 48)

[tex]6x = 48\\x = 8[/tex]

This means that she made $8/hour.

That is the answer

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Ben believe the orioles will win only 40% of their games this year if they play 160 games how many games does Ben predict they will win (use equivalent ratios)

Answers

The number of games Ben predict Orioles will win this year is 64 games

How to find percentage?

Percentage of games Ben believe the orioles will win = 40%Number of games Orioles played = 160

Number of games Ben predict they will win = 40% of 160

= 40/100 × 160

= 0.4 × 160

= 64

Therefore, the total number of games Ben predict they will win is 64 games

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A hiker walks x metres up a hill at 6/5 m/s and walks back down the same path to where they started at 2 m/s.
Give a simplified expression for the total time in seconds of the walk in terms of x (showing working out).

Answers

The total time in seconds of the walk-in terms of x is given as (4/3)x

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the distance walked, hence:

Total time = [x / (6/5)] + x/2 = (4/3)x

The total time in seconds of the walk-in terms of x is given as (4/3)x

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Solve PV = nRT for R.

Answers

Answer:

[tex] R = \dfrac{PV}{nT} [/tex]

Step-by-step explanation:

[tex] PV = nRT [/tex]

[tex] nRT = PV [/tex]

[tex] R = \dfrac{PV}{nT} [/tex]

If you replace the outlier of 113°F with 100°F, what happens to the range? Why do you think this occurs?

Answers

If you replace the outlier of 113°F with 100°F, the the range changes from 42 degrees to 29 degrees.

What is the outlier about?

In the case above, by  replace the outlier of 113°F with 100°F, IQR will not change due to the fact that the q1 and q3 values are not influence by the outlier.

But the range will change from 42 degrees to 29 due to the fact that

113 - 71 = 42 and

100 - 71 =  29

Therefore, If you replace the outlier of 113°F with 100°F, the the range changes from 42 degrees to 29 degrees .

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What is the length of the missing leg? If necessary, round to the nearest tenth.

Answers

Answer:

9 yards

Step-by-step explanation:

Length of missing leg = √ Hypotenuse² - Adjacent side²

b = [tex]\sqrt{15^{2} - 12^{2} } \\\sqrt{225 - 144} \\\sqrt{81} \\[/tex]

b = 9 yd

A sample of 50 11th graders were asked to select a favorite pattern out of 6 Choices the following display shows what their favorite color patterns were the counts have been recorded in the accompanying table according to pattern and the number of students who selected that pattern

Answers

Subtraction is a mathematical operation that reflects the removal of things from a collection. The number of students who like pink polka dots is 14.

What is subtraction?

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

The complete question is:

A sample of 50 11th graders was asked to select a favorite pattern out of 6 choices. the following display shows what their favorite color patterns were.

blue on gray 4green 9pink polka dots?purple 11red and orange stripes 9yellow 3

The counts have been recorded in the accompanying table according to pattern and the number of students who selected the pattern. what is the missing value in the table?

Given the total number of students in the sample was 50, therefore, the number of students who like pink polka dots is:

Number of students = 50 - (4+9+11+9+3)

                                  = 14

Hence, the number of students who like pink polka dots is 14.

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An aquarium holds 11.1 cubic feet of water and is 2.8 feet long and is 1.2 feet wide.what is the depth?

Answers

Step-by-step explanation:

the volume of any cube or prism is

length × width × height (or depth)

11.1 = 2.8 × 1.2 × depth

depth = 11.1 / (2.8 × 1.2) = 11.1 / 3.36 = 3.303571429 ft

≈ 3.3 ft

what is 3/7 divided by 3/7 equal to and simplified

Answers

Answer:

1

Step-by-step explanation:

3/7 divided by 3/7 is nothing but

3/7 times 7/3 because of the keep, change, flip rule.

3/7 times 7/3 is nothing but 21/21

21/21 simplifies to 1/1

1/1 = 1

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Sybil can put a total mass of 950 g in her bag. she buys a book that weighs 450 g and a notebook that weighs 210 g. write an equation to represent how much more mass, m, her bag can hold. then, solve for the answer and include an explanation of how you solved the equation

Answers

Answer:

M =290

Step-by-step explanation:

Subtraction of numbers

What is the surface area of a half sphere with a diameter of 16?

Answers

Answer:

603.185789 m2

Step-by-step explanation:

603.185789 m2 or 192 π m2

formula is  [tex]3\pi r^2[/tex]:

3 x  pi x 8^2 = 603.185789489

Write each expression as a single number:
a)2°+2raise to the power -1 + 2 raise to the power -2
b)10 raise to the power -1 +10°+10 raise to the power 3

Please explain it all I can’t understand it

Answers

Answer:

B) 2º+2=4

raise ^that 4 to the power of -1+2 like this

4-1+2=5

raise ^to the power -2 like this

5-2=3 <Awnser

Roll of the Dice Are the chances of rolling a 3 with one die the same as the chances of rolling a total of 6 with two dice? If not, which has the higher probability ?

Answers

Answer:

The probability is the same.

Step-by-step explanation:

The chances of rolling a 3 with one die is 1/6. The chances of rolling a 6 with 2 dice is 2/12.

Which of the following shows how to calculate the probability of randomly selecting a cat or dog?
P(cat) + P(dog)
P(cat) − P(dog)
P(cat) · P(dog)
P(cat) ÷ P(dog)

Answers

The probability of randomly selecting a cat or dog is P(cat or dog) = P(cat) + P(dog)

Since we cannot select a cat and dog at the same time, their probabilities are mutually exclusive

Probability of mutually exclusive events

If we have events a and b which are mutually exclusive with probabilities P(a) and P(b) respectively, the probability of a or b is P(a or b) = P(a) + P(b)

Probability of randomly selecting a cat or dog

Let

P(cat) = probability of selecting a cat and P(dog) = probability of selecting a dog

So, probability of randomly selecting a cat or dog is

P(cat or dog) = P(cat) + P(dog)

So, probability of randomly selecting a cat or dog is P(cat or dog) = P(cat) + P(dog)

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find all real numbers x such that

6x-21>5

Answers

[tex]~~~~~~6x-21 > 5\\\\\implies 6x > 5+21\\\\\implies 6x > 26\\\\\implies x > \dfrac{26}6\\ \\\implies x > \dfrac{13}{3}\\[/tex]


Find the area of AAOB
9√3 un
3√3 um
4.5/3 2

Answers

The area of the triangle AOB is 9√3 square units

How to determine the area of AOB?

The triangle AOB is an equilateral triangle with the following parameters:

Side length, x = 6

Angle, y = 60

The area of the triangle is then calculated using:

Area = 0.5 * x^2 * sin(y)

So, we have:

Area = 0.5 * 6^2 * sin(60)

Evaluate

Area = 18 * 0.5√3

Evaluate the product

Area = 9√3

Hence, the area of the triangle AOB is 9√3 square units

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i need help it’s due at the end of class

Answers

It is the 3rd option

What is the surface area of this cylinder? Use 3.14 and round your answer to the nearest hundredth. 8 ft 15 ft​

Answers

The surface area of the cylinder is 1155.52 square ft if the radius and height of the cylinder are 8 ft and 15 ft.

What is a cylinder?

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

[tex]\rm V = \pi r^2 h[/tex]

The surface area of the cylinder:

[tex]\rm A =2\pi rh+2\pi r^2[/tex]

r = 8 ft

h = 15 ft

[tex]\rm A =2\pi (8)(15)+2\pi (8)^2[/tex]

A = 1155.52 square ft

Thus, the surface area of the cylinder is 1155.52 square ft if the radius and height of the cylinder are 8 ft and 15 ft.

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Graph the inequality y ≥ 3x + 3.

Answers

Answer:

Step-by-step explanation:

You can graph the inequality by...

John believes that the amount of sleep he gets the night before a test and his score on that test are inversely related. On his first exam, he got eight hours of sleep and scored 70 on the exam. To the nearest tenth, how many hours does John believe he must sleep the night before his second exam so that the average of his two exam scores is an 80?

Answers

Answer:

Step-by-step explanation:

ohn will need to sleep for 10.3 hours before his second exam so that the

he average of his two exam scores is an 80.

We were given

8 hours of sleep = 70

To get an average of 80

70+ x = 80

2

Cross multiply:

70+x = 160

x= 160-70

= 90.

If 8 hours of sleep = 70

x hours of sleep = 90

Cross multiply

8× 90 = 70 × x

720 = 70x

x = 720/70

x = 10.2857

≈ 10.3 hours of sleep

What is |-8| + |6| ?

GIVING 50 POINTS NEED HELP ASAP

Answers

Answer:

14

Step-by-step explanation:

the absolute value of -8 is 8

the absolute value of 6 is 6.

6 + 8 = 14

give brainliest please!

hope this helps :)

Answer:

14

Step-by-step explanation:

The absolute value of -8 is 8. and the absoluite value of 6 is 6. 6 plus 8 is 14

is 0.9999 really the same as 1

Answers

Answer:

No but on a calculator it will just be rounded up. If 0.99999 was 1, maths would be pretty much useless.

Answer:

no the value tends to go to 1 but it is not exactly one.

Find the areas of the trapezoids.

Answers

Answer:

7.5 sq. un

Step-by-step explanation:

Hello!

The height is 3 units, the base is 4 units, and the other base is 1 unit.

Using the trapezoid area formula, [tex]A = \frac12(b_1+b_2)h[/tex],  we can plug the values in and solve.

Solve:

[tex]A = \frac12(b_1+b_2)h[/tex][tex]A = \frac12(1 + 4)3[/tex][tex]A = \frac12(5)(3)[/tex][tex]A = 2.5(3)[/tex][tex]A = 7.5[/tex]

The area is 7.5 sq. un

which set of coordinates will provide the vertices for 90 degree clockwise rotation of ABC around point C?

Answers

The area goes by the ale area
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