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Question
A solid is composed of a cylinder with hemispherical ends. If the whole length of the solid is 104 cm and the radius of each hemispherical end is 7 cm, find the surface area of the solid.
Solution
Radius of the hemispherical end = 7 cm
Height of the hemispherical end = 7 cm
Height of the cylindrical part`=(104 - 2 × 7) "cm" = 90 "cm"`
Surface area of the solid = 2(curved surface area of the hemisphere) + (curved surface area of the cylinder)
= [2(2πr2) + 2πrh]
= 2πr (2r + h)
`=2xx22/7xx7xx[(2xx7)+90] "cm"^2`
= (44 × 104) cm2
= 4567 cm22
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