Question: Find the volume of this cylinder.
Use 3.14 for $\pi$.
5 cm
6 cm
Volume
of a Cylinder
$V = Bh = \pi r^2 h$
$V = [ ? ]$ cm³
Round your answer to the nearest tenth.
Graph/object: cylinder, radius 5 cm, height 6 cm, position_hint = center.
1. **State the problem:** We need to find the volume $V$ of a cylinder with radius $r = 5$ cm and height $h = 6$ cm.
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).
3. **Substitute values:** Using $\pi = 3.14$, $r = 5$, and $h = 6$, we have
$$V = 3.14 \times 5^2 \times 6$$
4. **Calculate $r^2$:**
$$5^2 = 25$$
5. **Multiply:**
$$V = 3.14 \times 25 \times 6$$
6. **Calculate intermediate product:**
$$3.14 \times 25 = 78.5$$
7. **Calculate final volume:**
$$V = 78.5 \times 6 = 471$$
8. **Round to nearest tenth:**
Since $471$ is an integer, rounding to the nearest tenth gives $471.0$ cm³.
**Final answer:**
$$\boxed{471.0 \text{ cm}^3}$$