Masters Volume of Cylinders

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 height of 5 feet and a base area of 20 ft², what is its volume?

Back

Volume = Base Area × Height = 20 ft² × 5 ft = 100 ft³.

Front

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

Back

Diameter = 2 × Radius.

Front

How do you find the area of the base of a cylinder?

Back

Area of the base = π × r², where r is the radius.

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 10 cm?

Back

Volume = π × (3 cm)² × 10 cm ≈ 94.25 cm³.

Front

If the volume of a cylinder is 200 cm³ and the height is 10 cm, what is the radius?

Back

Radius = √(Volume / (π × Height)) = √(200 cm³ / (π × 10 cm)) ≈ 2.52 cm.

Front

What is the volume of a cylinder with a radius of 4 inches and a height of 5 inches?

Back

Volume = π × (4 in)² × 5 in ≈ 62.83 in³.

Front

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

Back

Increasing the height increases the volume proportionally, as Volume = Base Area × Height.

Front

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

Back

Volume = π × (3 ft)² × 8 ft ≈ 75.4 ft³.

Front

If a cylindrical tank has a radius of 2 m and is filled to a height of 3 m, what is the volume of the water?

Back

Volume = π × (2 m)² × 3 m ≈ 12.57 m³.