Question: What is the volume of this cylinder?
Use the $\pi$ button on a calculator or 3.14. Round your answer to the nearest hundredth.
$9$ m
$16$ m
cylinder shape, with radius $9$ m and height $16$ m, position_hint=center
cubic meters
1. **State the problem:** We need to find the volume of a cylinder with radius $r = 9$ m and height $h = 16$ m.
2. **Formula for the volume of a cylinder:**
$$ V = \pi r^2 h $$
where $V$ is the volume, $r$ is the radius, and $h$ is the height.
3. **Substitute the given values:**
$$ V = \pi \times 9^2 \times 16 $$
4. **Calculate the square of the radius:**
$$ 9^2 = 81 $$
5. **Multiply the values:**
$$ V = \pi \times 81 \times 16 $$
6. **Calculate the product inside:**
$$ 81 \times 16 = 1296 $$
7. **So, the volume is:**
$$ V = \pi \times 1296 $$
8. **Use $\pi \approx 3.14$ to approximate:**
$$ V \approx 3.14 \times 1296 $$
9. **Multiply:**
$$ V \approx 4067.04 $$
10. **Round to the nearest hundredth:**
$$ V \approx 4067.04 \text{ cubic meters} $$
**Final answer:** The volume of the cylinder is approximately $4067.04$ cubic meters.