Volume of Cylinders and Cones

Front

What is the relationship between the volume of a cone and cylinder when they both have the same radius and height?

Back

The cone is 1/3 the volume of the cylinder.

Front

What is volume?

Back

The amount of space in a 3-D object.

Front

Find the exact volume of the cone with a radius of 2 ft and height of 6 ft. (Use π)

Back

4π ft³.

Front

What is the formula for the volume of a cylinder?

Back

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

Front

What is the formula for the volume of a cone?

Back

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

Front

If a cylinder has a radius of 5 cm and a height of 10 cm, what is its volume? (Express in terms of π)

Back

250π cm³.

Front

How does the volume of a cone compare to a cylinder with the same base and height?

Back

The volume of the cone is one-third that of the cylinder.

Front

What is the volume of a cylinder with a radius of 3 m and height of 4 m? (Express in terms of π)

Back

36π m³.

Front

What is the volume of a cone with a radius of 3 m and height of 4 m? (Express in terms of π)

Back

12π m³.

Front

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

Back

The volume increases by a factor of 4.