Question

Find the volume of a cylinder if it has a diameter of 8 and a height of 12. Use the piπ button in your calculations and round to the nearest hundredth.
1. 2412.74
2. 96
3. 603.19
4. 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.

Given:
- Diameter = 8, so the radius \( r = \frac{8}{2} = 4 \).
- Height \( h = 12 \).

Now, plug in the values:

\[
V = \pi (4)^2 (12)
\]
\[
V = \pi (16)(12)
\]
\[
V = \pi (192)
\]

Now, using the π button or \( \pi \approx 3.14159 \):

\[
V \approx 3.14159 \times 192 \approx 603.18544
\]

Rounding to the nearest hundredth, the volume is approximately:

\[
603.19
\]

Thus, the answer is:

**3. 603.19**