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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 .


A
34 m
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B
25 m
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C
24 m
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Solution

The correct options are
B 25 m
C 24 m
Area of base = πr2
49ππr2
r = 7 m.

CSA = πrl
175ππ (7) l
l = 25 m.

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

Mathematics

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