A solid consists of a cone on top of a cylinder with a radius equal to the cone. The height of the cone is #6 # and the height of the cylinder is #5 #. If the volume of the solid is #20 pi#, what is the area of the base of cylinder?

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Answer 1 · 2017-12-23T07:32:13

The area of the base is #=8.98u^2#

The volume of a cone is

#V_(co)=1/3pir^2h_(co)#

The radius is #=r#

The height of the cone is #h_(co)=6#

The volume of a cylinder is

#V_(cy)=1/3pir^2h_(cy)#

The radius is #=r#

The height of the cone is #h_(cy)=5#

The volume of the solide is #=20pi#

#1/3a*6+a*5=20pi#

#a(1/3*6+5)=7a=20pi#

The area of the base is

#a=20/7pi=8.98u^2#