Volume of 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

What does π (pi) represent in the context of a cylinder?

Back

π (pi) is a constant approximately equal to 3.14, used to calculate the circumference and area of circles.

Front

If the diameter of a cylinder is 10 cm, what is the radius?

Back

The radius is 5 cm, which is half of the diameter.

Front

How do you convert diameter to radius?

Back

Radius = Diameter ÷ 2.

Front

What is the volume of a cylinder with a radius of 3 inches and a height of 5 inches?

Back

Volume = π × (3)² × 5 = 141.3 in³ (using π ≈ 3.14).

Front

What is the height of a cylinder if its volume is 100 in³ and the radius is 2 in?

Back

Height = Volume ÷ (π × r²) = 100 ÷ (π × 2²) = 15.92 in (using π ≈ 3.14).

Front

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

Back

Volume = π × (4)² × 10 = 502.4 cm³ (using π ≈ 3.14).

Front

If a cylinder has a volume of 200 in³ and a height of 4 in, what is the radius?

Back

Radius = √(Volume ÷ (π × height)) = √(200 ÷ (π × 4)) = 4.99 in (using π ≈ 3.14).

Front

What is the volume of a cylinder with a diameter of 6 m and a height of 8 m?

Back

Volume = π × (3)² × 8 = 75.36 m³ (using π ≈ 3.14).

Front

How does increasing the height of a cylinder affect its volume?

Back

Increasing the height increases the volume, as volume is directly proportional to height.