Question: Find the volume of this cylinder.
Use 3.14 for $\pi$.
$2$ m
$7$ m
Volume
of a Cylinder
$V = Bh = \pi r^2 h$
$V = [?]$ m$^3$
Round your answer to the nearest tenth.
1. **State the problem:** We need to find the volume $V$ of a cylinder with radius $r = 2$ m and height $h = 7$ m.
2. **Formula:** The volume of a cylinder is given by
$$V = Bh = \pi r^2 h$$
where $B$ is the area of the base (a circle), $r$ is the radius, and $h$ is the height.
3. **Substitute values:**
$$V = 3.14 \times (2)^2 \times 7$$
4. **Calculate the radius squared:**
$$2^2 = 4$$
So,
$$V = 3.14 \times 4 \times 7$$
5. **Multiply:**
$$V = 3.14 \times 28$$
6. **Calculate:**
$$V = 87.92$$
7. **Round to the nearest tenth:**
$$V \approx 87.9$$
**Final answer:** The volume of the cylinder is approximately $87.9$ cubic meters.