Find the volume of the cylinder, in13 cubic millimeters, 8mm. Round your answer to the nearest hundredth. cubic millimeters
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius of the base and h is the height.
In this case, the radius (r) is 8 mm.
The volume is given as 13 cubic millimeters, so we can set up the equation:
13 = π(8^2)h
Simplifying:
13 = 64πh
To find the volume, we need to solve for h:
h = 13 / (64π)
Approximating π as 3.14:
h ≈ 13 / (64 * 3.14)
h ≈ 0.0653 mm
Therefore, the height of the cylinder is approximately 0.0653 mm.
To find the volume, we can substitute the values into the formula:
V = π(8^2)(0.0653)
V ≈ 13.15 cubic millimeters
Rounding to the nearest hundredth, the volume of the cylinder is approximately 13.15 cubic millimeters.