Question

a right triangle with its sides 5cm,12cmand 13cmis revolved around the sides 12cm.find the volume of the solid so formed.

Answer 1

When a right angled triangle is rotated about any side other than hypotenuse, then we get a cone.

For a cone obtained in the above mentioned way, height of the cone is the length of the side about which a triangle is rotated and radius of the cone is same as the length of other side (other than hypotenuse).

So height of the cone is 12 cm.

And radius of cone is 5cm.

Volume = π*h*r*r/3

= 100π