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 #15 # and the height of the cylinder is #4 #. If the volume of the solid is #18 pi#, what is the area of the base of the cylinder?

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Answer 1 · 2017-01-14T13:49:48

The area is #=2pi#

Volume of the cone #=V_(co)=1/3*a*h_(co)#

Volume of the cylinder #=V_(cy)=a*h(cy)#

Volume of solid #V=V_(co)+V_(cy)#

#V=1/3*a*h_(co)+a*h(cy)=18pi#

So,

#1/3*a*15+a*4=18pi#

#9a=18pi#

#a=2pi#