Which expression represents the volume of a rectangular prism that is not occupied by the cylinder.

The volume of the prism not occupied by the cylinder is (150 - 25*pi)*h.

Step-by-step explanation:

In order to calculate the volume of the rectangular prism that is not occupied by the cylinder we need to calculate the total volume of the rectangular prism and subtract it by the volume of the cylinder. We have:

Rectangular prism:

Volume prism = length*height*width

Volume prism = 15*h*10 = 150*h

Cylinder:

Volume cylinder = pi*r²*h = pi*5²*h = 25*pi*h

The volume of the prism that is not occupied by the cylinder is:

volume not occupied = volume prism - volume cylinder

volume not occupied = 150*h - 25*pi*h = (150 - 25*pi)*h

The volume of the prism not occupied by the cylinder is (150 - 25*pi)*h.

the answer is n