Find the volume of the cylinder, in13 cubic millimeters, 8mm. Round your answer to the nearest hundredth. cubic millimeters

Answer 1

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.