Volume: Cylinders, Cones, & Spheres

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 sphere?

Back

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

Front

Find the volume of a cylinder with a radius of 5 cm and a height of 10 cm.

Back

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

Front

Find the volume of a cone with a radius of 4 cm and a height of 9 cm.

Back

Volume = (1/3)π(4)²(9) = 48π cm³ ≈ 150.8 cm³.

Front

Find 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 shape has a circular base and a pointed top?

Back

Cone.

Front

What is the relationship between the diameter and radius of a circle?

Back

Radius = Diameter / 2.

Front

If the height of a cylinder is doubled, what happens to its volume?

Back

The volume also doubles.

Front

If the radius of a cone is halved, how does that affect its volume?

Back

The volume is reduced to one-fourth.