A cone of height 24cm has a curved surface area `550\ c m^2dot` Find its volume. `(U s e\ pi=(22)/7)`

Explanation

Let r cm be the radius and l cm the slant height. Then

`l^2=r^2+24^2`

`l=(r^2+576)^(1/2)`

given curved surface area `= 550cm^2`

`pirl=550`

`pir(r^2+576)^(1/2)=550`

`(22/7)r(r^2+576)^(1/2)=550`

`(r^2)(r^2+576)=(25^2)(7^2)`

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