Mathematics
The curved surface area of a cone is 12320 cm2. If the radius of its base is 56 cm, find its height.
Mensuration
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Answer
By formula,
Curved surface area = πrl
We know that,
⇒ l2 = h2 + r2
⇒ 702 = h2 + 562
⇒ 4900 = h2 + 3136
⇒ h2 = 4900 - 3136
⇒ h2 = 1764
⇒ h = = 42 cm.
Hence, height of cone = 42 cm.
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