Q:

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 youA. 5 in.B. 15 in.C. 25 in.D. 90 in.

Accepted Solution

A:
Volume of the cone = [tex] \frac{1}{3} \pi x^{2} h[/tex]

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

Given that the radius is 6m
[tex] \frac{1}{3} \pi 6^{2} h[/tex] = [tex]180[/tex] 

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