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The base and top of a right circular cyl...

The base and top of a right circular cylindrical drum are hemispherical .The diameter of cylindrical part is 14 cm and total height is 30 cm .Find the total surface area of the drum.

Text Solution

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Here 2r =14
r=7 cm
Height of cylindrical part , h=30-2`xx` 7=16 cm
total surface area of drum `=xx` curved surface of hemishphere + Curved surface o cylinder
`=2xx2p[iR^(2)]+2pirh`
`=2pir(2r+h)`
`=2xx(22)/(7)xx7(2xx7+16)`
`=44xx30=1320 cm^(2)`
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