Question

a right triangle with side 7 cm and 12 cm forming a right angle is removed about the 12ccm sides find the volume of the cone so obtained. ​

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A right triangle ABC with s...

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Asked on December 20, 2019 by

Adeeba Maniya

A right triangle ABC with sides 5cm,12cm and 13cm is revolved about the side 12cm.If the triangle ABC is revolved about the side 5cm, then find the volume of the solid so obtained. Find also the ratio of the volumes of the two solids obtained.

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ANSWER

When the triangle is revolved around the side 12cm, the solid obtained is a cone with height 12cm, radius 5cm and slant height 13cm

Volume of cone =

3

1

πr

2

h

where, r is the radius of the base of the cone and h is the height.

Hence, volume of this cone =

3

1

×π×5

2

×12=100πcm

3

When the triangle is revolved around the side 5cm, the solid obtained is a cone with height 5cm, radius 12cm and slant height 13cm

Hence, volume of this cone =

3

1

×π×12

2

×5=240πcm

3

Ratio of the volumes 100π:240π=5:12