4. Paolo is filling a cylindrical water bottle. Unfortunately it is too big to fit in the sink he is filling up at so he has to use cone cups to fill up the bigger water bottle. The cone cups have a radius of 1 in, and a height of 3 in. how many cone cups would it take to fill the cylindrical water bottle?​

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, we need to be given the dimensions of the big cylindrical water bottle. Let us assume, that the big bottles has a dimension of radius 3 in and height 5 in.

Solution:

Firstly, we need to find the volume of the big cylindrical bottle, then we find the volume of the small cone.

Volume of the cylindrical bottle = πr²h = π(3²)5 = 45π in³

Volume of the small cone = πr²h/3 = π(1²)(3/3) = π in³

Therefore the number if cups required to fill the water bottle is the ratio of the volume of the cylinder to the volume of the small cone. Hence:

number of cone cups = 45π in³ / π in³ = 45 cups

Hence 45 cups of the cone would be needed to fill the cylindrical bottle


Related Questions

Use synthetic division to evaluate f(x) = –2x^3+ 3x – 6 when x = -5.

Answers

Answer:

-131

Step-by-step explanation:

Use -5 in place of x

f(x) = –2x^3+ 3x – 6

f(x) = -2*-5^3+3*5-6

The formula S=C(1+r)^t models inflation, where C= the value today, r= the annual inflation rate (in decimal form), and S= the inflated value t years from now. If the inflation rate is 4%, use the formula to find out how much a house now worth $183,000 will be worth in 15 years. Round your answer to the nearest dollar.

Answers

Answer:

area = b+h / lengthxwidth

Step-by-step explanation:

if two parallel lines are cut by a transversal, then alternate interior angle are_______.
pa help po thank u​

Answers

Answer:

if two parallel lines are cut by a transversal, then alternate interior angles are congruent

A six-pack of soda costs $1.69, a 12-pack of soda costs $3.99, and a 24-pack of soda costs $5.90. Which pack was the best deal?​

Answers

Answer:

The 24 because it is suposed to cost 6.76 and it cost 5.90.

12. The roots of a quadratic are x = -5 and x = 3.
Which of the following are possible factors of the
quadratic?

Answers

I am so happy that I am so sorry to be so happy for now I have no never ever been in the office and I have no idea how much you have the answer is 4

3. What is the measure of angle F? A 120° D G B A. 60 degrees. B. 90 degrees. C. 120 degrees. D. 180 degrees.​

Answers

Answer:

120°

Step-by-step explanation:

The angles that has 120° is the same as angle E.

Angle E = 120°

Angle D = 180° - 120° = 60°

60° + Angle F = 180°

Angle F = 180° - 60°

Angle F = 120°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

There are 6 seniors on the high school soccer team. Two of them will be chosen to be co-captains. How many ways are there to choose the co-captains? Decide if this is a permutation or a combination, and then find the number of ways to choose the co-captains.
A. Permutation; number of ways = 30
B. Combination; number of ways = 15
C. Combination; number of ways = 30
D. Permutation; number of ways = 15

Answers

Answer:

B. Combination; number of ways = 15

Step-by-step explanation:

Since order doesn't matter, this is a combination:

6 choose 2 = 6 nCr 2 = 6!/(6-2)!2! = 720/(24)(2) = 720/48 = 15

Therefore, there are 15 possible ways to choose 2 co-captains out of 6.

Combination; the number of ways = 15.

Option B is the correct answer.

What is a combination?

It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.

We have,

The problem involves selecting two seniors out of a group of six seniors, which is a combination problem.

The number of ways to choose two seniors out of six seniors is given by the formula:

C(6,2) = 6! / (2! * 4!) = 15

Therefore,

Combination; the number of ways = 15.

Learn more about combination here:

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Round to the nearest whole dollar: $7.23

Answers

Answer:

$ 7

Step-by-step explanation:

To round 7.23 to the nearest whole dollar consider the tenths’ value of 7.23, which is 2 and less than 5. Therefore, we have to round the amount down: the dollar ones place value of 7.23, 7, remains 7, and the decimal point and all digits (.23) are removed.

$7.23 rounded to the nearest dollar = $7

7 dollars I the answer

Solve the equation
2x - 4(x-2) = -5 + 4x - 35

Answers

answer : x=8

explantion:
Just verifying that x=8 is correct. :)

Please tell me the answer I need it now... please

Answers

Answer:

Your answer is C!

The answer is C. 500

help please and thank you

Answers

Answer:

23,030

Step-by-step explanation:

Add you base price, keyless entry, engine cooling, read window defogger and destination charge together.

Help!!
[25+{14-(3x2)-2}]

Answers

the answer is on the page it is a screenshot explaining how to do it

HELP ME PLEASEEEEEEEEEEEEEEE

Answers

The answer is: 98




Cause is you add everything you will get that

It would be 98 ft,

when you add all the numbers you would get 98, 21 + 7 + 6 + 21 + 15 + 28 = 98

Express 35 degrees into centesimal measure (grade, minute, second).[FULL PROCESS REQUIRED]​

Answers

Answer:

sorreyyyy mateeeeee dont know the answer

Practice solving roblems involving the volume or
cylinders, cones, and spheres.
Ant
What is the volume of the sphere in terms of r?
V=
IT in 3
6 in
Done

Answers

Answer:

V = 4.187r³

Step-by-step explanation:

Volume of a sphere is expressed using the formula;

V = 4/3πr³

r is the radius

Substitute π = 3.14 into the formula

V = 4/3 * 3.14r³

V = 4.187r³

Hence the volume of a sphere in terms of the radius is V = 4.187r³

Math problem please help me answer A and B​

Answers

Answer:

a) [tex]\frac{19}{52}[/tex]

b) [tex]\frac{7}{52}[/tex]

Step-by-step explanation:

Total number of students = 52

Number of students who are democrats = 26

Number of students who are business majors = 12

Number of students who are business majors as well as democrats = 7

Now, lets come to the question.

a) Number of students who are democrats but not business majors =

(Number of democrats) - (Number of democrats as well as business majors)

⇒ 26 - 7

⇒ 19

∴ P (Democrat who is not a business major) = [tex]\frac{19}{52}[/tex]

b) Number of students who are neither democrats nor business majors =

(Total number of students) - (Number of democrats + Number of business majors + Number of democrats as well as business majors)

⇒ 52 - (26 + 12 + 7)

⇒ 52 - 45

⇒ 7

∴ P (Neither democrat nor business major) = [tex]\frac{7}{52}[/tex]

A homeowner is replacing 4 solar modules at a cost of $6,200 for each solar module. She is going to get a discount of x dollars off each module. Write and expression that describes this situation and then simplify.

Answers

Answer:

[tex]C = 24800-4x[/tex]

Step-by-step explanation:

Given

[tex]Module =4[/tex]

[tex]Unit\ cost = \$6200[/tex]

[tex]Unit\ Discount = x[/tex]

Required

The expression for total discount

When the discount is applied, the cost (c) of 1 module is:

[tex]C = 6200-x[/tex]

For 4 modules, we have:

[tex]C = 4 * (6200-x)[/tex]

Open bracket

[tex]C = 24800-4x[/tex]

An investor invested a total of $2,700 in two mutual funds. One fund earned a 4% profit while the other earned a 2% profit of the investors total profit was $80 how much was invested in each mutual fund

Answers

Investment problems usually involve simple annual interest (as opposed to compounded interest), using the interest formula I = Prt, where I stands for the interest on the original investment, P stands for the amount of the original investment (called the "principal"), r is the interest rate (expressed in decimal form

PLEASE HELP
3/4M -12 but m = 32

Answers

Answer:

Replace the variable m with 32

in the expression.

3/4⋅(32)−12 Simplify each term.

24−12 Subtract 12 from 24.

12

Step-by-step explanation:

The ratio of pants to shots that John has is 2:3. If John has 8

pairs of pants then how many pants and shorts does he have?

Answers

Answer:

12 shirts

Step-by-step explanation:

Since John has 8 pants and 2 x 4 is equal to 8. Then you must multiply the number of shirts by 4 (3 x 4) to give you the number of shirts, which is 12.

Check:

2/3 is equivalent to 8/12

Hope this helps :)

Segment AB has endpoints at A ( -3 , 6) and B (7 , -3).

What is the Midpoint of segment AB?

Answers

Therefore, the midpoint of segment AB is M (2, 3/2).

The midpoint formula is a method to determine the midpoint of a line segment.

To find the midpoint of a line segment, use the midpoint formula. In this case, the endpoints of the segment are A (-3, 6) and B (7, -3), and we need to find the midpoint.Point M is the midpoint of the segment AB. Let's find the x-coordinate of M first by applying the midpoint formula:

midpoint x-coordinate = (x1 + x2)/2

midpoint x-coordinate = (-3 + 7)/2

midpoint x-coordinate = 4/2

midpoint x-coordinate = 2

Now, let's find the y-coordinate of M by applying the midpoint formula:

midpoint y-coordinate = (y1 + y2)/2

midpoint y-coordinate = (6 + (-3))/2

midpoint y-coordinate = 3/2

For such more question on segment

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What value of X makes the equation true -7x - (-5-x) = -9(2x-1) -1

Answers

Answer:

x = 1/4

Step-by-step explanation:

-7x - (-5-x) = -9(2x-1) -1

-7x + 5 + x = -18x + 9 - 1

combine like terms:

-6x + 5 = -18x + 8

add 18x to each side of the equation:

12x + 5 = 8

subtract 5 from each side:

12x = 3

divide both sides by 12:

x = 3/12 = 1/4

WILL GIVE BRAINIEST what is the sum of the interior angles of the polygon shown below.

Answers

Answer:

900

Step-by-step explanation:

(n-2)*180

5*180=900

Answer:

900°

Step-by-step explanation:

The polygon shown in the picture has 7 sides. The formula for finding the sum of interior angles of an n-gon is:

(n - 2)(180)

We can substitute in 7 for n to get the sum:

(7 - 2)(180)

(5)(180)

900°

A network of electrical wires will be constructed so that each of the
six points on the board is directly connected to each other point by a piece
of wire. The diagram shows the board with points A, B, C, D, E, and F.

Answers

Answer:

D I just did this

Inverse Functions

Using a scientific calculator or graphing calculator find the inverse tangent of the ratio. Round to the nearest degree.
1

1

a. 45°
b. 90°
c. 0°
d. 1°

Please select the best answer from the choices provided

Answers

Answer:

A. 45°

Step-by-step explanation:

I calculated it logically

Cara is flying a kite at the park using a string that is 42 meters long. She notices that the kite is directly above her friend Leah. If Cara and Leah are standing 36 meters apart, how high is the
kite ?

Answers

Answer:

21.63 m

Step-by-step explanation:

Given :

Hypotenus = 42 m

Base = 36 m

Hence, using Pythagoras rule :

Opposite = √hypotenus² - Adjacent²

Height = √42²-36²

Height = √1764 - 1296

Height = √468

= 21.63 m

i really need help with this i beg you !!

Answers

Answer:

The perimeter and area of the square are 56 units and 196 square units, respectively.

Step-by-step explanation:

The inner right triangle represents a 45-45-90 right triangle, which has the feature of a hypotenuse whose length is [tex]\sqrt{2}[/tex] time the length of any of its legs. If the hypotenuse has a measure of [tex]7\sqrt{2}[/tex], then the legs of the triangle have a measure of [tex]7[/tex].

Now, we are aware that the side length of the square is twice the length of the leg of the right triangle. Then, side length of the square is 14 units long.

Lastly, we know from Geometry that the perimeter and area of the square are represented by the following expressions:

Perimeter

[tex]p = 4\cdot l[/tex] (1)

Area

[tex]A = l^{2}[/tex] (2)

Where [tex]l[/tex] is the side length of the square.

If we know that [tex]l = 14[/tex], then the perimeter and area of the square are, respectively:

[tex]p = 4\cdot (14)[/tex]

[tex]p = 56[/tex]

[tex]A = 14^{2}[/tex]

[tex]A = 196[/tex]

The perimeter and area of the square are 56 units and 196 square units, respectively.

please someone answer this question fast!

Answers

Answer:

100.05 in^2

Step-by-step explanation:

Area of parallelogram: base times height

=11.5 x 8.7=100.05 in^2

100.05in ^2

A= l x w
A= 11.5x8.7
A= 100.05

Indicate the answer choice that best completes the statement or answers the question.
Write an equation for each problem. Then solve. Round to the nearest tenth if necessary.
30 is what percent of 60?
A 200%
ь. 50%
c. 90%
d 18%

Answers

Answer:

no.D) 18% is the answer of this question

What is the surface area of the figure below?

Answers

The answer is D I’m pretty sure!? Hopefully you got it right!!!!!!!
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