to be honest I agree that would be 6s
In cylindrical coordinates, we have
, so that

correspond to the upper and lower halves of a sphere with radius
. In spherical coordinates, this sphere is
.
means our region is between two cylinders with radius 1 and
. In spherical coordinates, the inner cylinder has equation

This cylinder meets the sphere when

which occurs at

where
. Then
.
The volume element transforms to

Putting everything together, we have

Answer : 9
Step-by-step explanation:
The answer is 9 because a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number.
If you start with a 12x16 rectangle and cut square with side length x, when you bend the sides you'll have an inner rectangle with sides
and
, and a height of x.
So, the volume will be given by the product of the dimensions, i.e.

The derivative of this function is

and it equals zero if and only if

If we evaluate the volume function at these points, we have

So, the maximum volume is given if you cut a square with side length
