13 mm 8 mm Find the volume of the cylinder , in cubic millimeters Round your answer to the nearest hundredth

Answer 1

To find the volume of a cylinder, you need to multiply the area of the base by its height.

The formula for the area of a circle is A = πr², where r is the radius. Since the diameter is given, we can find the radius by dividing the diameter by 2.

Given:
Diameter = 13 mm
Radius = 13 mm / 2 = 6.5 mm

Let's assume the height of the cylinder is 8 mm.

Now, plug these values into the formula for the volume of a cylinder:

V = πr²h

V = π(6.5 mm)²(8 mm)

V = π(42.25 mm²)(8 mm)

V = π(338 mm³)

To round the answer to the nearest hundredth, you can use the approximation π ≈ 3.14.

V ≈ 3.14(338 mm³)

V ≈ 1063.32 mm³

Therefore, the volume of the cylinder is approximately 1063.32 cubic millimeters.