Volumes

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3)πr²h, where r is the radius and h is the height.

Front

What is the formula for the volume of a composite figure?

Back

Add the volumes of the individual shapes that make up the composite figure.

Front

How do you find the volume of a rectangular prism?

Back

Volume = length × width × height.

Front

What units are used to measure volume?

Back

Cubic units, such as cubic meters (m³), cubic inches (in³), etc.

Front

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

Back

Volume = π(5 cm)²(10 cm) = 250π cm³ ≈ 785.4 cm³.

Front

What is the relationship between the radius and volume of a cylinder?

Back

The volume increases with the square of the radius; doubling the radius increases the volume by a factor of four.

Front

Which has a larger volume: a cylinder with a radius of 3 cm and height of 10 cm or a cylinder with a radius of 4 cm and height of 5 cm?

Back

Calculate both: Cylinder 1 = 90π cm³; Cylinder 2 = 80π cm³. Cylinder 1 has a larger volume.

Front

What is the volume of a cylinder with a radius of 6 inches and a height of 12 inches?

Back

Volume = π(6 in)²(12 in) = 432π in³ ≈ 1357.2 in³.

Front

How does the volume of a cone compare to a cylinder with the same base and height?

Back

The volume of the cone is one-third that of the cylinder.