Height - 13 mm , Radius - 8 mm

Find the volume of the cylinder, in cubic millimeters. Round your answer to the nearest hundredth.

The formula to calculate the volume of a cylinder is given by V = πr^2h, where r is the radius of the cylinder and h is the height.

Given that the radius is 8 mm and the height is 13 mm, we can substitute these values into the formula to find the volume:

V = π(8 mm)^2(13 mm)
V = π(64 mm^2)(13 mm)
V = π(832 mm^3)

To find the volume rounded to the nearest hundredth, we can use the approximate value of π as 3.14:

V ≈ 3.14(832 mm^3)
V ≈ 2609.28 mm^3

Therefore, the volume of the cylinder is approximately 2609.28 cubic millimeters.