Question

A cylinder and its dimensions are shown. One equations for calculating the volume of a cylinder is V = Bh , where B represents the area of the base of the cylinder. Which expression can be used to find the value of B, in square inches, for this cylinder.

The cylinder's width is 16.6, and the height is 11.1.

Answer 1

A beach ball has a radius of 12 in.. How much air will the beach ball hold? (leave your answer in terms of π)

108π in.^3
144π in.^3
192π in.^3
2304π in.^2

Answer 2

Find the volume of a cylinder if it has a diameter of 8 and a height of 12. Leave your answer in terms of π.

Answer 3

Oatmeal is packaged in a cylindrical container, as shown in the diagram. The diameter of the container is 13 centimeters and its height is 24 centimeters. To the nearest tenth of a cubic centimeter, what is the volume of the container?

Answer 4

Answer choices are:

3.855.3 cubic centimeters
3,325.7 cubic centimeters
3,185.6 cubic centimeters
3,256.2 cubic centimeters

Answer 5

Oatmeal is packaged in a cylindrical container, as shown in the diagram. The diameter of the container is 13 centimeters and its height is 24 centimeters. To the nearest tenth of a cubic centimeter, what is the volume of the container?

3.855.3 cubic centimeters
3,325.7 cubic centimeters
3,185.6 cubic centimeters
3,256.2 cubic centimeters

Answer 6

To find the value of B, we need to know the shape of the base of the cylinder. Since the problem does not provide this information, we cannot determine the expression for B.

Answer 7

The volume of a sphere can be calculated using the formula V = (4/3)πr^3, where r is the radius of the sphere.

Substituting the given radius r = 12 in. into the formula, we can calculate the volume V:

V = (4/3)π(12^3)
V = (4/3)π(1728)
V = 2304π

Therefore, the beach ball can hold 2304π in.^3 of air.

Answer 8

The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the radius of the cylinder's base and h is the height of the cylinder.

Given that the diameter of the cylinder is 8, we can find the radius by dividing the diameter by 2:

r = 8/2 = 4

Now substituting the radius r = 4 and the height h = 12 into the volume formula, we can calculate the volume V:

V = π(4^2)12
V = π(16)12
V = 192π

Therefore, the volume of the cylinder is 192π cubic units.

Answer 9

The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the radius of the cylinder's base and h is the height of the cylinder.

Given that the diameter of the container is 13 cm, we can find the radius by dividing the diameter by 2:

r = 13/2 = 6.5 cm

Now substituting the radius r = 6.5 cm and the height h = 24 cm into the volume formula, we can calculate the volume V:

V = π(6.5^2)(24)
V ≈ π(42.25)(24)
V ≈ 1013.27 cm^3

Therefore, the volume of the container, to the nearest tenth of a cubic centimeter, is approximately 1013.3 cm^3.

Answer 10

Given that the volume of the container is approximately 1013.3 cm^3, none of the provided answer choices match this value. Thus, none of the answer choices are correct.

Answer 11

To find the volume of the cylindrical container, we need to use the formula V = πr^2h, where r is the radius of the base and h is the height of the cylinder.

Given that the diameter of the container is 13 centimeters, we can find the radius by dividing the diameter by 2:
r = 13/2 = 6.5 centimeters

Now substituting the values of r and h into the volume formula, we can calculate the volume V:
V = π(6.5^2)(24)
V ≈ 5306.366

Rounding the volume to the nearest tenth of a cubic centimeter, the volume of the container is approximately 5306.4 cubic centimeters.

Therefore, the correct answer choice is 5,306.4 cubic centimeters.