Volume of a Cylinder

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

If a cylinder has a radius of 3 inches and a height of 5 inches, what is its volume?

Back

Volume = π × (3 in)² × (5 in) = 45π in³ ≈ 141.37 in³.

Front

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

Back

Diameter = 2 × Radius.

Front

How do you convert diameter to radius?

Back

Radius = Diameter ÷ 2.

Front

What is the volume of a cylinder with a radius of 4 ft and a height of 10 ft?

Back

Volume = π × (4 ft)² × (10 ft) = 160π ft³ ≈ 502.65 ft³.

Front

What units are used to measure the volume of a cylinder?

Back

Cubic units (e.g., in³, ft³, cm³).

Front

If the height of a cylinder is doubled, how does that affect the volume?

Back

The volume also doubles, since volume is directly proportional to height.

Front

What is the volume of a cylinder with a radius of 2 cm and a height of 3 cm?

Back

Volume = π × (2 cm)² × (3 cm) = 12π cm³ ≈ 37.70 cm³.

Front

What is the volume of a cylinder with a radius of 5 m and a height of 2 m?

Back

Volume = π × (5 m)² × (2 m) = 50π m³ ≈ 157.08 m³.

Front

How do you find the volume of a cylinder if only the diameter is given?

Back

First, find the radius by dividing the diameter by 2, then use the volume formula.