Q12 of 107 Page 17

A boiler is in the form of a cylinder 2 m long with hemispherical ends each of 2 metre diameter. Find the volume of the boiler.

Given: radius of cylinder (r) = = 10 cm


Height of cylinder (h1) = 2.5 m


Height of cone (h2) = 7.5 m


Let l be slant height of cone




⇒ l = 12.5 m


Volume of cylinder (V1) = πr2h


⇒ V1 = π r(10)2(2.5) ……….. (1)


Volume of cone (V2) = πr2h


= π(10)2 (7.5) …………. (2)


Total capacity of tent = (1) + (2)


V = V1 + V2


⇒ V = π(10)2(2.5) + π(10)2 (7.5)


⇒ V = 250π + 250π


⇒ V = 500 π m3


∴Total capacity of tent = 500 π m3


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