Mathematics
Find the volume of a cone whose slant height is 17 cm and radius of base is 8 cm.
Mensuration
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Answer
Given,
Slant height (l) = 17 cm
Radius (r) = 8 cm
Let height of cone be h cm.
We know that,
⇒ l2 = h2 + r2
⇒ 172 = h2 + 82
⇒ 289 = h2 + 64
⇒ h2 = 225
⇒ h = = 15 cm.
By formula,
Volume of cone =
Hence, volume of cone = 1005.71 cm3.
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