A cylinder has a base diameter of 20 centimeters and a height of 5 centimeters. What is its volume in cubic centimeters, to the nearest tenths place?
The volume of a cylinder is calculated using the formula V = πr^2h, where r is the radius of the base and h is the height of the cylinder.
Given that the base diameter is 20 cm, the radius is half of that, so the radius (r) is 20/2 = 10 cm.
Plugging in the values into the formula:
V = π * 10^2 * 5
V = π * 100 * 5
V = 500π
Approximating π to 3.14:
V ≈ 500 * 3.14
V ≈ 1570 cm^3
Therefore, the volume of the cylinder is approximately 1570 cubic centimeters.