Question

The volume of the solid generated by the revolution of an isosceles right-angled triangle about its hypotenuse of length 2a is

Answer 1

It will form cone and we will use volume of cone formula according to attachment.

Answer 2

Answer:

$Volume = \frac{8}{3}\pi\times a^3\thinspace units ^3$

Step-by-step explanation:

Volume generated by Isosceles triangle :

By complete rotation of 360° it will form a cone.

We know,

$\text{Volume of a cone is given by = }\frac{1}{3}\pi\times r^2\times h$

where r is radius and h is height

r = h ( because it is an isosceles triangle )

⇒ r = h = 2·a

$\text{Volume = }\frac{1}{3}\pi\times a^2\times 8\cdot a\\\\\text{Volume = }\frac{8}{3}\pi\times a^3\thinspace units^3$