2. An isosceles right triangle whose legs are 6 is rotated about one of its legs to generate a right circular cone What is the volume of that cone?

72π

Step-by-step explanation:

The computation of the volume of the cone is shown below:

Here The radius of the base is one of the legs, therefore it is 6.

And, The height of the cone represent the other leg, therefore it is also 6.

Now as we know that

The volume of the cone is

= 1 ÷ 3 πr^2h

= 1 ÷ 3π 6^2 6

= π × 36 × 2

= 72π