1. **State the problem:** Find the volume of a beach ball with a diameter of 2 ft, using $\pi = 3.14$.
2. **Formula:** The volume $V$ of a sphere is given by
$$V = \frac{4}{3} \pi r^3$$
where $r$ is the radius of the sphere.
3. **Calculate the radius:** Since the diameter is 2 ft,
$$r = \frac{2}{2} = 1 \text{ ft}$$
4. **Substitute values into the formula:**
$$V = \frac{4}{3} \times 3.14 \times 1^3 = \frac{4}{3} \times 3.14 \times 1$$
5. **Simplify:**
$$V = \frac{4}{3} \times 3.14 = \frac{4 \times 3.14}{3}$$
6. **Show cancellation:**
$$V = \frac{\cancel{4} \times 3.14}{\cancel{3}} \times \frac{4}{3} \Rightarrow V = \frac{4 \times 3.14}{3}$$
(Note: No common factors to cancel between 4 and 3, so this step confirms the fraction.)
7. **Calculate the volume:**
$$V = \frac{4 \times 3.14}{3} = \frac{12.56}{3} = 4.186666...$$
8. **Round to the nearest tenth:**
$$V \approx 4.2 \text{ ft}^3$$
**Final answer:** The volume of the beach ball is approximately **4.2 ft³**.
This corresponds to option B.
Beach Ball Volume 8F903C
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.