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 #66 # and the height of the cylinder is #5 #. If the volume of the solid is #27 pi#, what is the area of the base of the cylinder?

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Answer 1 · 2016-06-02T06:16:12

Area of the base is #pi=3.1416#

Let the area of the base of cylinder be #A#.

Hence volume of cylinder is #Axx5=5A#

and volume of cone is #1/3xxAxx66=22A#

Hence total volume is #22A+5A=27A=27pi#

Therefore #A=(27pi)/27=pi=3.1416#