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Question

The volume of a cone of radius 7 cm and slant height 14 cm is ______.
(use π=227)


A
622.381 cm3
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B
722.381 cm3
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C
618.381 cm3
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D
522.381 cm3
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Solution

The correct option is A 622.381 cm3

Given,
Radius of the cone
r=7 cm
Slant height of the cone
l=14 cm

Image result for cone slant height and radius relation

From the pythagoras theorem
l2=h2 + r2,

height of the cone
h=14272
h=147=12.1243 cm

Volume of a Cone
=13×π ×r2h

=13×227×72×12.1243

=622.381 cm3


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