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 #18 # and the height of the cylinder is #21 #. If the volume of the solid is #420 pi#, what is the area of the base of the cylinder?

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Answer 1 · 2017-01-12T09:16:02

The area is #=48.9u^2#

The volume of the cylinder #=# area of base #*# height

The volume of the cone #=1/3*# area of base #*# height

Let #a=# area of the base

Volume of the cone #=1/3*a*18=6a#

Volume of cylinder #=a*21=21a#

Total #=6a+21a=27a=420pi#

#a=420/27pi=48.9 u^2#