Volume of cylinders

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.

Front

What is the relationship between diameter and radius?

Back

The radius is half of the diameter. r = d/2.

Front

How do you convert diameter to radius?

Back

Divide the diameter by 2.

Front

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

Back

Volume = π(3)²(5) = 141.37 cm³.

Front

If a cylinder has a height of 10 cm and a radius of 4 cm, what is its volume?

Back

Volume = π(4)²(10) = 502.65 cm³.

Front

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

Back

Volume = π(4)²(6) = 301.59 cm³.

Front

How do you find the height of a cylinder if you know the volume and diameter?

Back

Rearrange the volume formula: h = Volume / (πr²).

Front

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

Back

Volume = π(5)²(2) = 157.08 ft³.

Front

If the volume of a cylinder is 1000 cm³ and the radius is 5 cm, what is the height?

Back

h = 1000 / (π(5)²) = 12.73 cm.

Front

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

Back

Volume = π(2)²(3) = 12.57 m³.