Question

Find the volume of a cylinder if it has a diameter of 8 and a height of 12

2412.74

96

603.19

112

Answer 1

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.

1. First, find the radius. The diameter is given as 8, so the radius \( r \) is half of the diameter:

\[
r = \frac{8}{2} = 4
\]

2. Now plug the radius and height into the volume formula. The height \( h \) is given as 12:

\[
V = \pi (4^2)(12)
\]
\[
V = \pi (16)(12)
\]
\[
V = \pi (192)
\]
\[
V \approx 3.14159 \times 192 \approx 602.88
\]

Rounding this to two decimal places gives us approximately:

\[
V \approx 603.19
\]

So, the volume of the cylinder is approximately **603.19**.