Hello, fabxx!

If a square prism is inscribed in a right circular cylinder of radius 3 and height 6,

the volume inside the cylinder but outside the prism is:

. .

Visualize a right circular cylinder (a soup can).

A square-based block is fitted into the can snugly.

They both have the same height, 6.

The base looks like this: Code:

* * *
* *
o - - - - - - - o
*| / |*
| / |
* | / | *
* | 6 / x| *
* | / | *
| / |
*| / x |*
o - - - - - - - o
* *
* * *

The diameter of the circle is 6.

Let = side of the square.

From Pythagorus: .

. .

The volume is the cylinder is: .

The volume of the block is: .

Solution: . . . . answer (c)