A cylinder has a base diameter of 6 centimeters and a height of 18 centimeters. What is its volume in cubic centimeters, to the nearest tenths place?

Answer 1

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

First, we need to find the radius of the base. Since the diameter is 6 centimeters, the radius is half of that, which is 3 centimeters.

Now we can plug the values into the formula:

V = π(3 cm)^2(18 cm)
V = π(9 cm^2)(18 cm)
V = 162π cm^3

To find the approximate volume in cubic centimeters, we can use the value of π ≈ 3.14159:

V ≈ 162(3.14159) ≈ 508.93958 cm^3

Therefore, the volume of the cylinder is approximately 508.9 cubic centimeters to the nearest tenths place.