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 #36 # and the height of the cylinder is #4 #. If the volume of the solid is #126 pi#, what is the area of the base of the cylinder?

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Answer 1 · 2018-06-10T05:36:05

#color(violet)("Area of base of cylinder " = pi r^2 = (126/16) pi = (63/8) pi#

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#"Volume of the solid " V = pir^2 h_1 + (1/3) pi r^2 h_2 = 126 pi#

#pi r^2 (4 + 36/3) = 126 pi#

#color(violet)("Area of base of cylinder " = pi r^2 = (126/16) pi = (63/8) pi#