Question

A right angled triangle ABC with sides 10cm 24 cm and 26cm is revolved about the fixed side of 24cm. Find the volume of the solid generated?

Answer 1

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Answer 2

A right angled triangle ABC with sides 10cm 24 cm and 26cm is revolved about the fixed side of 24cm. The solid generated is right circular cone. The volume of the solid is 2512 cm³

Step-by-step explanation:

The longest side of the right angled triangle will be 26 cm which is the hypotenuse of the triangle

When the triangle is rotated about its 24 cm side then we will get a right circular cone whose

Height h = 24 cm

Base radius r = 10 cm

Slant height l = 26 cm

We know that volume of a cone is given by

$V=\frac{1}{3}\pi r^2 h$

$\implies V=\frac{1}{3}\pi\times 10\times 10\times 24$

$\implies V=3.14\times 100\times 8$ cubic cm

$\implies V=2512$ cm^3

Hope this answer is helpful.

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