1. **State the problem:** We need to estimate the volume of a cylinder-shaped blob of toothpaste with length (height) $h = 0.75$ cm and diameter $d = 0.5$ cm.
2. **Formula:** The volume $V$ of a cylinder is given by
$$V = \pi r^2 h$$
where $r$ is the radius and $h$ is the height.
3. **Calculate the radius:** The radius $r$ is half the diameter,
$$r = \frac{d}{2} = \frac{0.5}{2} = 0.25 \text{ cm}$$
4. **Substitute values:** Using $\pi = 3.14$,
$$V = 3.14 \times (0.25)^2 \times 0.75$$
5. **Calculate intermediate steps:**
$$0.25^2 = 0.0625$$
6. **Calculate volume:**
$$V = 3.14 \times 0.0625 \times 0.75$$
7. **Multiply:**
$$3.14 \times 0.0625 = 0.19625$$
8. **Multiply by height:**
$$0.19625 \times 0.75 = 0.1471875$$
9. **Round to 2 decimal places:**
$$V \approx 0.15 \text{ cm}^3$$
**Final answer:** The volume of toothpaste used is approximately **0.15 cm³**.
Toothpaste Volume 51560C
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