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