A cylinder has a base diameter of 10 inches and a height of 19 inches. What is its volume in cubic inches, to the nearest tenths place?

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

First, you need to find the radius of the base. The diameter of the base is 10 inches, so the radius is half of that, which is 5 inches.

Now you can plug the values into the formula:

V = π(5)^2(19)
V = π(25)(19)
V = 475π

Now, you can calculate the volume:

V ≈ 1493.5 cubic inches

Therefore, the volume of the cylinder is approximately 1493.5 cubic inches.