Volume of 3D Shapes

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 volume of a cylinder with a radius of 3 cm and a height of 7 cm?

Back

Volume = π(3)²(7) = 63π cm³ ≈ 197.82 cm³.

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

Back

Volume = (1/3)π(3)²(7) = 21π cm³ ≈ 65.97 cm³.

Front

What is the formula for the volume of a sphere?

Back

Volume = (4/3)πr³, where r is the radius.

Front

What is the volume of a sphere with a radius of 3 cm?

Back

Volume = (4/3)π(3)³ = 36π cm³ ≈ 113.1 cm³.

Front

What is the volume of a rectangular prism?

Back

Volume = length × width × height.

Front

What is the volume of a rectangular prism with dimensions 2 cm, 3 cm, and 4 cm?

Back

Volume = 2 × 3 × 4 = 24 cm³.

Front

What is the relationship between diameter and radius?

Back

Diameter = 2 × radius.

Front

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

Back

Radius = diameter / 2 = 6 cm / 2 = 3 cm.