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

Question

13mm is h 8mm is r

Answer 1

To find the volume of a cylinder, the formula is given by:

$$V=\pi r^{2}h$$

where $V$ is the volume, $r$ is the radius, and $h$ is the height of the cylinder.

In this case, you've provided:

• Height $h=13$ mm
• Radius $r=8$ mm

Now we can plug these values into the formula:

$$V=\pi (8,\text{mm}{)}^2(13,\text{mm})$$

Calculating $(8,\text{mm}{)}^2$:

$$(8,\text{mm}{)}^2=64,{\text{mm}}^2$$

Now, substituting this back into the volume formula:

$$V=\pi (64,{\text{mm}}^2)(13,\text{mm})=\pi (832,{\text{mm}}^3)$$

Now, calculating the volume:

$$V\approx 3.14159\times 832,{\text{mm}}^3\approx 2618.9837,{\text{mm}}^3$$

Rounding to the nearest hundredth:

$$V\approx 2618.98,{\text{mm}}^3$$

Thus, the volume of the cylinder is approximately 2618.98 cubic millimeters.