Volume: Cylinders, Cones, & Spheres

Front

What is the formula for the volume of a cylinder?

Back

Volume = π × r² × h, where r is the radius and h is the height.

Front

What is the volume of a cone?

Back

Volume = (1/3) × π × r² × h, 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) × π × r³, where r is the radius.

Front

What shape has a circular base and tapers to a point?

Back

Cone.

Front

What is the height of a cylinder?

Back

The perpendicular distance between the two circular bases.

Front

If the radius of a cylinder is doubled, how does the volume change?

Back

The volume increases by a factor of four.

Front

What is the relationship between diameter and radius?

Back

Diameter = 2 × Radius.

Front

What is the volume of a cylinder with a radius of 5 cm and height of 10 cm?

Back

Volume = π × (5)² × (10) = 250π ≈ 785 cm³.

Front

What is the volume of a sphere with a radius of 5 cm? Use 3.14 for π.

Back

Volume = (4/3) × 3.14 × (5)³ = 523.33 cm³.

Front

What is the volume of a cone with a radius of 3 cm and height of 9 cm?

Back

Volume = (1/3) × π × (3)² × (9) = 27π ≈ 84.82 cm³.