Question

The volume of a cone is 218 cubic centimeters and the height of the cone is 13 cm. What is the radius of the cone to the nearest whole number? (Recall Volume of a Cone = \frac{1}{3} Bh)

Answer 1

The radius is 4 cm.

Explanation:

The volume of the cone is found using the volume formula for a cone
`V=(1)/(3)\pi r^2h`.

Substitute V = 218 and h = 13.

`V = (1)/(3)\pi r^2h\\218 = (1)/(3)\pi (r^2)(13)\\(218)/(13)=(1)/(3)\pi r^2\\(16.769)/(3.14) = (1)/(3) r^2 \\5.34 * 3= r^2 \\ 16.02 = r^2 \\ 4 = r`