Finding volume calculus 2 help?

Question

Answer 1

Note :

The volume of the solid obtained by rotating the area between y = f ( x ) and y = g( x ) over [ a, b] around the x - axis ( assume f( x ) ≥ g( x ) ≥ 0 ) : .

The curves are and .

To find the interval of x,

Write the equations as and

Apply zero product property.

.

Volume of the solid with the interval [0, 6] is

.

The volume of the solid that results enclosed by the curves e and is 5.625.