For the senior pic mr. williams is using two cylinders to keep the food cool the inside still there with the radius of 8 inches will be fill with potato salad the cylinder will be placed inside a cylinder of radius 10 inches the space between the two cylinders will be filled with a not a cooling solution the amount of cooling solution need to fill the empty spaces is ? and the height is 15 inches

The answer is  1,695.6 in³.

The volume of the empty space is the difference of the bigger cylinder and the smaller cylinder: V = V1 - V2

The volume of the bigger cylinder is:
V1 = π r² h
r = 10 in
h = 15 in
π = 3.14

V1 = 3.14 * 10² * 15 = 4,710 in³

The volume of the smaller cylinder is:
V2 = π r² h
r = 8 in
h = 15 in
π = 3.14

V2 = 3.14 * 8² * 15 = 3,014.4 in³

The volume of the empty space is:
V = V1 - V2 = 4,710 in³ - 3,014.4 in³ = 1,695.6 in³