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Question

A right angled â–³ABC with sides 5cm,12cm and 13cm is revolved about the fixed side of 12cm. Find the volume of the solid generated.

A
31427cm3
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B
31417cm3
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C
3427cm3
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D
None of these
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Solution

The correct option is A 31427cm3
Consider the given right triangle ABC with sides 5 cm,12 cm and 13 cm.

When it is revolved about the fixed side of 12 cm, then it will generate a solid cone with height 12 cm and radius 5 cm.

We know that the volume of the cone
V=13πr2h

=13×227×52×12

=227×25×4

=227×100

=22007

=31427 cm3.

Hence, option A is correct.

1363610_622594_ans_971172808dc14f3ead11f1fa5f4bf49c.jpg

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