A cylinder has a base diameter of 14m and a height of 10m. What is its volume in cubic m, to the nearest tenths place?
To calculate 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.
Given that the base diameter is 14m, the radius (r) of the base would be half of the diameter, so r = 7m. The height (h) of the cylinder is 10m.
Plugging these values into the formula, we get:
V = π(7)^2(10)
V = π(49)(10)
V = 490π
To find the volume in cubic meters, we need to calculate the value of π, which is approximately 3.14159.
V = 490 * 3.14159
V ≈ 1538.4
Therefore, the volume of the cylinder is approximately 1538.4 cubic meters.