Volume of Cylinders and Cones

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 formula for the volume of a cone?

Back

Volume = (1/3)πr²h, where r is the radius and h is the height.

Front

What is the value of π (Pi) used in calculations?

Back

Approximately 3.14.

Front

What shape has a circular base and tapers to a point?

Back

Cone.

Front

What shape has two parallel circular bases connected by a curved surface?

Back

Cylinder.

Front

If the radius of a cylinder is doubled, how does the volume change?

Back

The volume increases by a factor of four.

Front

What is the height of a cylinder if its volume is 100 ft³ and the radius is 5 ft?

Back

Height = Volume / (πr²) = 100 / (3.14 * 5²) = 1.27 ft.

Front

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

Back

Diameter = 2 * Radius.

Front

How do you find the volume of a cylinder with a radius of 3 ft and a height of 4 ft?

Back

Volume = π(3)²(4) = 36π ≈ 113.04 ft³.

Front

What is the volume of a cone with a radius of 3 ft and a height of 4 ft?

Back

Volume = (1/3)π(3)²(4) = 12π ≈ 37.68 ft³.