# A solid consists of a cone on top of a cylinder with a radius equal to that of the cone. The height of the cone is #33 # and the height of the cylinder is #14 #. If the volume of the solid is #2750 pi#, what is the area of the base of the cylinder?

##### 1 Answer

Mar 19, 2016

#### Explanation:

#pi*r^2=S_("cylinder's base")=(3*V_T)/(3*h_("cylinder")+h_("cone"))=(3*2750pi)/(3*14+33)=(8250pi)/75=110pi# [square units]