What is the volume of a cylinder, in cubic inches, with a height of 13 inches and a base diameter of 12 inches? Round to the nearest tenths place
The formula for the volume of a cylinder is V = πr^2h, where r is the radius of the base and h is the height.
Since the diameter is given, we first need to find the radius:
radius (r) = diameter / 2
radius (r) = 12 / 2
radius (r) = 6 inches
Now, we can plug in the values into the formula:
V = π(6)^2(13)
V = π(36)(13)
V = 468π
To find the volume to the nearest tenths place, we can calculate and approximate the value of π to be 3.14:
V ≈ 468 * 3.14
V ≈ 1468.32 cubic inches
Therefore, the volume of the cylinder is approximately 1468.3 cubic inches.