Question

PLEASE HELP ME!! A right circular cone has a radius of 6 inches and a volume of 180 cubic inches. What is the height of the cone? Please answer without using pi. Thank you
A. 5 in.
B. 15 in.
C. 25 in.
D. 90 in.

Answer 1

Volume of the cone = $\frac{1}{3} \pi x^{2} h$

Given that the volume is 180 cubic inches
$\frac{1}{3} \pi r^{2} h$ = $180$ 

Given that the radius is 6m
$\frac{1}{3} \pi 6^{2} h$ = $180$ 

Evaluate 
$\frac{1}{3} \pi (36) h$ =  $180$ 
$12\pi h$ =  $180$ 
$h$ =  $180$  ÷ ($12 \pi$)
$h$ = 4.77  ≈ 5 inches (Answer A)