Question
If a right circular cone of height 24 cm has a volume of 1232 `cm^3` , then the area of its curved surface is :
Answer: Option B
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`1/3 xx 22/7 xx r^2 xx 24 = 1232`
`hArr r^2 = ((1232 xx 7 xx 3)/(22 xx 24))`
`hArr r^2 = 49 hArr r = 7`.
Now , r = 7 cm , h= 24 cm, so l = `sqrt((7)^2 + (24)^2)` = 25 cm
`:.` Curved surface area = `(22/7 xx 7 xx 25) cm^2 = 550 cm^2`
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