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Question
The total surface area of a right circular cone of slant height 13 cm is 90π cm2. Calculate: its volume in cm3. Take π = 3.14
Solution
Total surface area of cone = 90π cm2
slant height (l) = 13 cm
Now
h = `sqrt ("l"^2 - "r"^2)`
`= sqrt (13^2 - 5^2)`
`= sqrt (169 - 25)`
`= sqrt 144`
h = 12 cm
Volume = `1/3 pi "r"^2 "h"`
`= 1/3 xx 3.14 xx 5 xx 5 xx 12`
= 314 cm3
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