A cylinder has a base diameter measuring 6 inches and a height measuring 8 inches. A second cylinder has a base diameter measuring 8 inches and a height measuring 6 inches.

1 answer

To find the volume of each cylinder, we can use the formula for the volume of a cylinder: V = πr^2h, where r is the radius of the base and h is the height of the cylinder.

For the first cylinder with a base diameter of 6 inches, the radius is half of the diameter, so r = 6/2 = 3 inches. The height is 8 inches.

V1 = π(3)^2(8)
V1 = 72π cubic inches

For the second cylinder with a base diameter of 8 inches, the radius is half of the diameter, so r = 8/2 = 4 inches. The height is 6 inches.

V2 = π(4)^2(6)
V2 = 96π cubic inches

Therefore, the volume of the first cylinder is 72π cubic inches and the volume of the second cylinder is 96π cubic inches.