Question

The volume of a cone is 300 cubic kilometers. If the radius of the base is 9 kilometers, what is the height of the cone? Use 3.14 for π. Show your work and round to the nearest tenth.

Answer 1

the volume of a cone is

\[V = \frac{1}{3} \pi r^2h\]

in your question you have V = 300, pi = 3.14 and r = 9

so you have

\[300 = \frac{1}{3} \times 3.14 \times 9^2 \times h\]

just solve for h

Answer 2

Thank you! :)