Question

Find the height of a cone with V = 100 and B = 20.

Answer 1

what is B ?

Answer 2

the radius of the base?

Answer 3

volume of a cone is given by
\[V=1/3 \pi r ^{2}h\]
so manipulate the formula to solve for h
\[h=(3V)/(\pi r ^{2})\]
volume is given. if B is the base diameter, divide by 2 to get the radius. if it's already the radius, use it without dividing.