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.

Question

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