A combined solid made up of a cylinder of radius 3cm and length h cm and a hemisphere with the same radius as the cylinder has volume of 792cm³. Find the value of h.
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For all figures,
r=7 cm
l (slant height)= h (height of cylinder)=4 cm
T.S.A of the figure= C.S.A of Cone+C.S.A of cylinder +C.S.A of hemisphere.
CSA of cone: πrl=(3.14)×(7cm)×(4cm)=87.92 cm
2
CSA of cylinder: 2πrh=(2)×(3.14)×(7cm)×(4cm)=175.84 cm
2
CSA of hemisphere: 2πr
2
=(2)×(3.14)×(7cm)
2
=307.72 cm
2
Adding all: TSA of figure= 571.48 cm
2 so height is 28cm
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