A cylinder has a base diameter of 10cm and a height of 7cm. What is its volume in cubic cm, to the nearest tenths place?

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 of the cylinder.

Given that the base diameter is 10cm, the radius (r) of the base is half of the diameter, which is 5cm.

Plugging in the values, we get:
V = π(5)^2(7)
V = π(25)(7)
V = 175π

Now, to find the volume to the nearest tenths place, we can use the approximation 3.14 for π:
V ≈ 175(3.14)
V ≈ 549.5

Therefore, the volume of the cylinder is approximately 549.5 cubic cm to the nearest tenths place.