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 know the radius and height. In this case, the radius is half of the diameter, so the radius is 6.5 mm for the first measurement (13 mm) and 4 mm for the second measurement (8 mm).
The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height.
For the first measurement:
V = π(6.5 mm)^2(13 mm)
= 3.14(42.25 mm^2)(13 mm)
= 3.14(549.25 mm^3)
≈ 1723.44 mm^3
For the second measurement:
V = π(4 mm)^2(8 mm)
= 3.14(16 mm^2)(8 mm)
= 3.14(128 mm^3)
≈ 401.92 mm^3
Therefore, the volume of the cylinder is approximately 1723.44 mm^3 for the first measurement and 401.92 mm^3 for the second measurement.