Answer:



Step-by-step explanation:
The volume of the cylinder is

where r is the radius of a base circle and h is the cylinder's height.
If cylinder has diameter of 8 inches, then its radius is 4 inches. The height of the cylinder is 5 inches. Thus, the volume of the cylinder is

The volume of the cone is

where r is the radius of a base circle and h is the cone's height.
If cone has diameter of 8 inches, then its radius is 4 inches. The height of the cone is 15 inches. Thus, the volume of the cone is

As you can see the cylinder and the cone have the same volume.
If x=3 and y=5 then you just substitute.
6(5)/3
30/3
=10
10 is your answer.
The area of the surface given by
is 1. In terms of a surface integral, we have

By multiplying each component in
by 5, we have

and the same goes for the derivative with respect to
. Then the area of the surface given by
is
