Geometry Volume Flashcard

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

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

Back

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

Front

What is the formula for the volume of a sphere?

Back

Volume = (4/3)πr³, where r is the radius.

Front

How do you find the radius of a sphere if you know the volume?

Back

Rearrange the volume formula: r = (3Volume / (4π))^(1/3).

Front

What is the relationship between volume, radius, and height in a cylinder?

Back

Volume is directly proportional to the square of the radius and the height.

Front

If a cylinder has a volume of 100 cm³ and a radius of 2 cm, what is its height?

Back

Height = 8 cm.

Front

If a cylinder has a volume of 950 in³ and a height of 10 in, what is its radius?

Back

Radius = 5.4 in.

Front

What is the volume of a sphere with a radius of 3 in?

Back

Volume ≈ 113.04 in³.

Front

What is the volume of a sphere with a radius of 9 m?

Back

Volume ≈ 3052.08 m³.

Front

If a cylinder has a volume of 686 mm³ and a height of 14 mm, what is its radius?

Back

Radius = 4 mm.