Volume of Pyramids and Cones

Front

What is the formula for the volume of a pyramid?

Back

V = (1/3) * B * h, where B is the area of the base and h is the height.

Front

What is the formula for the volume of a cone?

Back

V = (1/3) * π * r² * h, where r is the radius of the base and h is the height.

Front

If the radius of a cone is 3 cm and the height is 10 cm, what is the volume?

Back

V = (1/3) * π * (3)² * (10) = 30π cm³.

Front

What is the relationship between diameter and radius?

Back

The radius is half of the diameter. r = d/2.

Front

If the diameter of a cone is 6 cm, what is the radius?

Back

r = 6/2 = 3 cm.

Front

What is the volume of a cone with a height of 7 cm and a radius of 3 cm?

Back

V = (1/3) * π * (3)² * (7) = 21π cm³.

Front

How do you find the area of the base of a cone?

Back

A = π * r², where r is the radius.

Front

What is the volume of a pyramid with a base area of 40 cm² and a height of 5 cm?

Back

V = (1/3) * 40 * 5 = 66.67 cm³.

Front

What is the volume of a cone with a radius of 4 cm and a height of 6 cm?

Back

V = (1/3) * π * (4)² * (6) = 32π cm³.

Front

If a pyramid has a base area of 60 cm² and a height of 10 cm, what is its volume?

Back

V = (1/3) * 60 * 10 = 200 cm³.