Volumes of Prisms and Cylinders

Front

What is the formula for finding the volume of a cylinder?

Back

The volume of a cylinder is found using the formula V = πr²h, where r is the radius of the base and h is the height.

Front

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

Back

The area of the base of a cylinder is found using the formula A = πr², where r is the radius of the base.

Front

If a cylinder has a radius of 2 cm and a height of 5 cm, what is its volume?

Back

The volume is V = π(2²)(5) = 20π cm³, which is approximately 62.8 cm³.

Front

What is the volume of a cylinder with a radius of 3 inches and a height of 9 inches?

Back

The volume is V = π(3²)(9) = 81π in³, which is approximately 254.5 in³.

Front

What does the term 'prism' refer to in geometry?

Back

A prism is a solid shape with two parallel, congruent bases connected by rectangular faces.

Front

What is the difference between a prism and a cylinder?

Back

A prism has polygonal bases, while a cylinder has circular bases.

Front

How do you round a volume to the nearest tenth?

Back

To round to the nearest tenth, look at the hundredths place; if it's 5 or more, round up.

Front

What is the significance of π in volume calculations?

Back

π (pi) is a constant approximately equal to 3.14, used in calculations involving circles, such as the base of a cylinder.

Front

If the height of a cylinder is doubled, how does that affect the volume?

Back

Doubling the height of a cylinder will double its volume, assuming the radius remains the same.

Front

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

Back

The volume is V = π(4²)(10) = 160π cm³, which is approximately 502.7 cm³.