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

Answer:

The radius is 4 cm.

Step-by-step explanation:

The volume of the cone is found using the volume formula for a cone $V=\frac{1}{3}\pi r^2h$.

Substitute V = 218 and h = 13.

$V = \frac{1}{3}\pi r^2h\\218 = \frac{1}{3}\pi (r^2)(13)\\\frac{218}{13}=\frac{1}{3}\pi r^2\\\frac{16.769}{3.14} = \frac{1}{3} r^2 \\5.34 * 3= r^2 \\ 16.02 = r^2 \\ 4 = r$