Question

If a cone has a height of 5 inches and a volume of 135pi, in^3find the diameter of the circular base.

Answer 1

Volume is cone=1/3x\[\pi\]xr^2xh
135\[\pi\]= 1/3x\[\pi\]x r^2x 5
(135x3)/5= r^2
27x3=r^2
81=r^2
\[\sqrt{81}\] = r
9=r , (diameter is 81, radius is 9)