What is the diameter of the cone with height 8 m and volume 150π m^3?

The cone formula is V=1/3 (pi*r^2) h, plug in what you know 150pi=1/3 (pi*r^2) 8.

Multiply both sides by 3: 450pi = (pi*r^2) 8

Divide by 8: 56.25pi=pi*r^2

Divide by pi: 56.25=r^2

Square root both sides: 7.5=r

Multiply by 2 to find diameter: d=15