Volume of Spheres, Cones, Cylinders

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

• V = 2πr^2

• V = 4πr^2

• V = (4/3)πr^3

• V = (1/3)πr^3

If the radius of a sphere is 5 cm, what is its volume? (Use the formula V = (4/3)πr^3)

• 15.71 cm^3

• 1000 cm^3

• 314.16 cm^3

• 523.33 cm^3

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

• V = (1/3) * π * r^2 * h

• V = (2/3) * π * r^2 * h

• V = (1/2) * π * r^2 * h

• V = π * r * h

If the radius of a cone is 6 cm and the height is 8 cm, what is its volume? (Use the formula V = (1/3)πr^2h)

• 96π cm^3

• 144π cm^3

• 48π cm^3

• 72π cm^3

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

• 3πr^2h

• πr^3

• 2πrh

• πr^2h

If the radius of a cylinder is 4 cm and the height is 10 cm, what is its volume? (Use the formula V = πr^2h)

• The volume of the cylinder is 160π cm^3

• The volume of the cylinder is 40π cm^3

• The volume of the cylinder is 80π cm^3

• The volume of the cylinder is 100π cm^3

How is the formula for the volume of a cone related to the formula for the volume of a cylinder?

• A cone has no relationship to a cylinder

• The formula for the volume of a cone is completely different from the formula for the volume of a cylinder

• The volume of a cone is twice the volume of a cylinder

• A cone can be thought of as a third of a cylinder.

Solve the following word problem: A sphere has a radius of 7 cm. What is its volume?

• 196 cm^3

• 49 cm^3

• 1436.75 cm^3

• 98 cm^3

Solve the following word problem: A cone has a radius of 3 cm and a height of 9 cm. What is its volume?

• The volume of the cone is 18π cm^3.

• The volume of the cone is 27π cm^3.

• The volume of the cone is 12π cm^3.

• The volume of the cone is 36π cm^3.

Solve the following word problem: A cylinder has a radius of 5 cm and a height of 12 cm. What is its volume?

• The volume of the cylinder is 300π cm^3

• The volume of the cylinder is 150π cm^3

• The volume of the cylinder is 100π cm^3

• The volume of the cylinder is 360π cm^3