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Question

If the area of base of a cone is 49π m2 and its CSA is 175π m2, then its height is __ m.
  1. 24

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Solution

The correct option is A 24
Area of base = πr2
49π = πr2
r=7m.

CSA = πrl
175π = π (7) l
l=25m.

We know, r2+h2=l2
h2=25272
h2=242
[7, 24, 25 is a pythagorean triplet]
h=24m

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