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 the term 'radius' refer to in a cylinder?

Back

The radius is the distance from the center of the base of the cylinder to its edge.

Front

How do you calculate the height of a cylinder if you know its volume and radius?

Back

Height = Volume / (π × r²).

Front

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

Back

Diameter = 2 × Radius.

Front

If a cylinder has a radius of 5 cm and a height of 10 cm, what is its volume?

Back

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

Front

What is the volume of a cylinder with a height of 4 m and a radius of 2 m?

Back

Volume = π × (2 m)² × (4 m) = 16π m³ ≈ 50.3 m³.

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.

Front

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

Back

Volume = π × (3 cm)² × (5 cm) = 45π cm³ ≈ 141.4 cm³.

Front

If two cylinders have the same height but different radii, how does their volume compare?

Back

The cylinder with the larger radius will have a larger volume.

Front

What is the volume of a cylinder with a diameter of 6 cm and a height of 10 cm?

Back

Radius = 3 cm; Volume = π × (3 cm)² × (10 cm) = 90π cm³ ≈ 282.7 cm³.