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.
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.
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
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.
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.
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.
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?
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 choices are:
3.855.3 cubic centimeters
3,325.7 cubic centimeters
3,185.6 cubic centimeters
3,256.2 cubic centimeters
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.
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