Question

ind+the+volume+of+the+cylinder%2C+in+cubic+millimeters.+Round+your+answer+to+the+nearest+hundredth
radius 8
hight 13

Answers

GPT-4o mini
To find the volume of a cylinder, you can use the formula:

\[
V = \pi r^2 h
\]

where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height.

In this case:
- Radius \( r = 8 \) mm
- Height \( h = 13 \) mm

Now plug in the values:

\[
V = \pi (8^2)(13) = \pi (64)(13) = \pi (832)
\]

Now calculating \( 832 \pi \):

\[
V \approx 832 \times 3.14159 \approx 2617.76 \text{ cubic millimeters}
\]

Therefore, the volume of the cylinder is approximately

\[
\boxed{2617.76}
\]

cubic millimeters, rounded to the nearest hundredth.