Volume Concepts

What is the formula for calculating the volume of a cylinder?

• V = 2πr^2h

• V = πr^3

• V = 2πrh

• V = πr^2h

If the radius of a cylinder is 5 cm and the height is 10 cm, what is the volume of the cylinder?

• 150π cm^3

• 300π cm^3

• 200π cm^3

• 250π cm^3

What is the formula for calculating the volume of a sphere?

• 3 * π * r^3

• π * r^2

• (4/3) * π * r^3

• 2 * π * r^3

If the radius of a sphere is 3 cm, what is the volume of the sphere?

• 27π cm^3

• 36π cm^3

• 9π cm^3

• 45π cm^3

What is the formula for calculating the volume of a cone?

• 2 * π * r * h

• (1/2) * π * r^2 * h

• π * r * h

• (1/3) * π * r^2 * h

If the radius of a cone is 4 cm and the height is 6 cm, what is the volume of the cone?

• 32π cm^3

• 18π cm^3

• 24π cm^3

• 40π cm^3

How is the volume of a cylinder different from the volume of a cone?

• The volume of a cylinder is calculated using V = πr^2, while the volume of a cone is calculated using V = (1/3)πr^2h.

• The volume of a cylinder is calculated using V = 2πrh, while the volume of a cone is calculated using V = (1/3)πr^2h.

• The volume of a cylinder is calculated using V = (1/3)πr^2h, while the volume of a cone is calculated using V = πr^2h.

• The volume of a cylinder is calculated using V = πr^2h, while the volume of a cone is calculated using V = (1/3)πr^2h.

If the volume of a sphere is 36π cubic units, what is the radius of the sphere?

• 3

• 4

• 5

• 6

Explain how the volume of a sphere is related to its radius.

• The volume of a sphere is related to its radius by the formula V = (4/3) * π * r^3.

• The volume of a sphere is related to its radius by the formula V = π * r^2.

• The volume of a sphere is related to its radius by the formula V = (4/3) * π * r^2.

• The volume of a sphere is related to its radius by the formula V = (2/3) * π * r^3.

Calculate the volume of a cone with a radius of 8 cm and a height of 12 cm.

• 192π cm^3

• 320π cm^3

• 144π cm^3

• 256π cm^3