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Question

Curved surface area of a cone with base radius 40 cm is 1640 π sq.cm. Find the height of the cone.

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Solution

Given:
Curved surface area of the cone = 1640π cm2
Base radius (r) = 40 cm
We know:
Curved surface area of the cone = πrl
πrl = 1640π
40π× l = 1640
l = 41 cm
Also,
Slant height, l = r2+h2
h=l2-r2=412-402=81=9 cm

Hence, the height of the cone is 9 cm.

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