A cylinder has a diameter of 10 inches and a height of 2.3 inches. What is the volume of this cylinder, to the nearest tenth of a cubic inch?

1 answer

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

Given that the diameter of the cylinder is 10 inches, the radius (r) is half of the diameter, which is 5 inches. Therefore, r = 5 inches.

The height of the cylinder is 2.3 inches.

Now, plug in the values into the formula:

V = π(5^2)(2.3)
V = π(25)(2.3)
V ≈ 180.26 cubic inches

Therefore, the volume of the cylinder is approximately 180.3 cubic inches.