A solid is in the form of a right circular cylinder with a hemisphere one end and a cone at the other end. The radius of the common base is 8 cm. and the heights of the cylindrical and conical portion are 10 cm and 6 cm respectively. Find the total surface area of the solid.
(use π = 3.14)
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Answer:
Total Surface Area of Solid = C.s.a of hemisphere+C.s.a of cone+C.s.a of Cylinder
slant height of cone=√h²+r²
=√6²+8²
=√100
=10cm
height of cone = 10 cm
radius of hemisphere =radius of cone=radius of cylinder=8cm
T.S.A of solid=2πrh+2πr²+πrl
=πr[2h+2r+l]
=3.14*8[2*10+2*8+10]
=25.12[36+10]
=25.12*46
=1155.52 cm²
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