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 #9 # and the height of the cylinder is #11 #. If the volume of the solid is #190 pi#, what is the area of the base of the cylinder?

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Answer 1 · 2016-06-07T12:25:53

Area of base of cylinder is #190pi/14=95/7pi#.

Let the area of the base of cylinder be #A#, as its height is #11# units

volume of cylinder is #11xxA=11A#

volume of cone of height #9# units will be #1/3xxAxx9=3A# units

hence total volume is #11A+3A=14A=190pi#

Hence, Area of base of cylinder is #190pi/14=95/7pi#.