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Question
Find the volume of a cone whose slant height is 17 cm and radius of base is 8 cm.
Solution
Slant height (l) = 17 cm
Radius (r) = 8 cm
But, l2 = r2 + h2
`=>` h2 = 12 – r2
`=>` h2 = 172 – 82
`=>` h2 = 289 – 64 = 225 = (15)2
∴ h = 15
Now, volume of cone = `1/3pir^2h`
= `1/3 xx 22/7 xx 8 xx 8 xx 15 cm^3`
= `7040/7cm^3`
= 1005.71 cm3
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