Volume of Geometric Shapes

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

• (1/2) * π * r^2 * h

• 2 * π * r * h

• (1/3) * π * r^2 * h

• π * r * h

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

• 24π cm^3

• 40π cm^3

• 32π cm^3

• 18π cm^3

What is the formula for calculating the volume of a rectangular prism?

• length x width x width

• length x width / height

• length x width x height

• length + width + height

A rectangular prism has dimensions of length 5 cm, width 3 cm, and height 7 cm. What is its volume?

• 45 cm^3

• 21 cm^3

• 105 cm^3

• 35 cm^3

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

• V = πr^2h

• V = πr^2

• V = 2πrh

• V = 2r^2h

If the radius of a cylinder is 2 cm and the height is 8 cm, what is the volume of the cylinder?

• 16π cm^3

• 48π cm^3

• 32π cm^3

• 12π cm^3

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

• The volume of a cone is equal to the volume of a cylinder

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

• The volume of a cone is one-third of the volume of a cylinder with the same base and height.

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

Explain how to calculate the volume of a rectangular prism using its dimensions.

• Volume = Length x Width x Height

• Volume = Length - Width - Height

• Volume = Length x Width / Height

• Volume = Length + Width + Height

What is the unit of measurement used for volume?

• Kilograms (kg)

• Liters (L) or cubic meters (m^3)

• Meters (m)

• Degrees (°)

If the volume of a cylinder is 100 cubic cm and the height is 5 cm, what is the radius of the cylinder?

• 3.14 cm

• 4.5 cm

• 6.2 cm

• 2.52 cm