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Question

The height and the slant height of a cone are 21 cm and 28 cm, respectively. Find the volume of the cone.

Solution
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Volume of the cone =13πr2h

Given

Slant height=l=28cm

Height of cone =h=21cm

Let radius of cone =rcm

We know that

l2=h2+r2

282=212+r2


282212=r2

r2=7.49

r=77cm

So,

Volume of cone =13πr2h

=13227777721cm3

=227777cm3

=22.7.7.(7)2cm3

=22.7.7.7cm3

=7546cm3

Volume of cone =7546cm3.

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