To find the volume \( V \) of a cylinder, you can use the formula:
\[ V = \pi r^2 h \]
where:
- \( r \) is the radius,
- \( h \) is the height, and
- \( \pi \) is approximately \( 3.14159 \).
Given:
- Radius \( r = 4 \)
- Height \( h = 8 \)
Now plug in the values:
\[ V = \pi (4)^2 (8) \]
Calculating \( (4)^2 \):
\[ (4)^2 = 16 \]
Now substitute that into the volume formula:
\[ V = \pi (16)(8) \]
Calculating \( 16 \times 8 \):
\[ 16 \times 8 = 128 \]
So, we have:
\[ V = \pi \times 128 \]
Thus, the volume is:
\[ V \approx 128\pi \]
If you want a numerical approximation, you can use \( \pi \approx 3.14 \):
\[ V \approx 128 \times 3.14 \approx 402.12 \]
So the volume of the cylinder is approximately \( 402.12 \) cubic units, or exact as \( 128\pi \) cubic units.
1 answer