Volume of Curved Figures

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 formula for the volume of a hemisphere?

Back

Volume = (2/3)πr³, where r is the radius.

Front

What is the difference between a radius and a diameter?

Back

The radius is half the length of the diameter; the diameter is the longest distance across the circle.

Front

What shape is formed when a circle is rotated around its diameter?

Back

A sphere.

Front

What is the volume of a sphere?

Back

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

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 relationship between the height and volume of a cone?

Back

The volume of a cone is directly proportional to its height.

Front

How do you find the volume of a composite shape that includes a cylinder and a hemisphere?

Back

Calculate the volume of each shape separately and then add them together.

Front

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

Back

Volume = π(3)²(5) = 45π ≈ 141.37 cubic inches.