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Q:) A solid is in the shape of a cone mounted on one end of a cylinder on same diameter. Slant height of the cone and height of the cylinder are equal to the diameter. If the common diameter is 10 cm, then find the total surface area of the solid.
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Answer:
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 cm2
CSA of cylinder: 2πrh=(2)×(3.14)×(7cm)×(4cm)=175.84 cm2
CSA of hemisphere: 2πr2=(2)×(3.14)×(7cm)2=307.72 cm2
Adding all: TSA of figure= 571.48 cm2
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