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Maths-

General

Easy

Question

A triangle having sides equal to 7cm, 24cm and 25cm forms a cone when revolved about 24cm side. What is the volume of a cone formed?

1225cm³
1232cm³
4000cm³
3696cm³

hint Hint:

Volume of a cone = ( $1 third$ )πr2h

The correct answer is: 1232cm³

We have given the dimensions of triangle having sides equal to 7cm, 24cm and 25cm
It is revolved about 24 cm side
Therefore, the cone formed will have dimensions as
Height , h = 24 cm
Radius , r = 7 cm
So, the volume of cone = ( $1 third$ )πr²h
= ( $1 third$ )( $22 over 7$ )(7 x 7)(24)
= 22 x 7 x 8
= 1232 cm³
Therefore, the correct option is b) 1232 cm³

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