Volumes of Solids

Front

What is the formula for the volume of a cylinder?

Back

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

Front

How do you calculate the volume of a rectangular prism?

Back

Volume = length × width × height.

Front

What is the volume of a sphere formula?

Back

V = (4/3)πr³, where r is the radius.

Front

If the radius of a cone is 3 cm and the height is 5 cm, what is the volume?

Back

V = (1/3)πr²h = (1/3)π(3)²(5) = 15π cm³.

Front

What does the term 'base area' refer to in volume calculations?

Back

The area of the base shape of the solid, used in the volume formula.

Front

What is the volume of a cube with side length 4 cm?

Back

Volume = side³ = 4³ = 64 cm³.

Front

How do you find the volume of a triangular prism?

Back

Volume = (1/2 × base × height of triangle) × height of prism.

Front

What is the relationship between diameter and radius?

Back

Radius is half of the diameter: r = d/2.

Front

What is the volume of a cone with a radius of 2 cm and a height of 6 cm?

Back

V = (1/3)π(2)²(6) = 8π cm³.

Front

What does the 'h' in the volume formula V = B × h represent?

Back

The height of the solid.