Question
450) Which is a better estimate for the volume of a bathroom sink?
Ask by Harris Potter. in the United States
Jan 20,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
A typical bathroom sink has a volume of about 10 liters.
Solution
To estimate the volume of a typical bathroom sink, let's consider the general dimensions and shape:
1. **Shape Approximation:** Most bathroom sinks can be approximated as a **cylindrical** or **semi-cylindrical** shape.
2. **Typical Dimensions:**
- **Diameter:** Approximately 15 inches (38 cm)
- **Depth:** Approximately 5 inches (13 cm)
3. **Volume Calculation:**
- **Radius (r):** Half of the diameter, so 19 cm.
- **Height (h):** 13 cm.
Using the formula for the volume of a cylinder:
\[
\text{Volume} = \pi r^2 h = 3.14 \times (19)^2 \times 13 \approx 14,737 \text{ cubic centimeters}
\]
4. **Convert to Liters:**
\[
14,737 \text{ cm}^3 \div 1,000 = 14.7 \text{ liters}
\]
However, considering that bathroom sinks are not perfect cylinders and have a more bowl-like shape, the actual volume would be somewhat less.
5. **Final Estimate:**
A **better estimate** for the volume of a typical bathroom sink would be approximately **10 liters**.
**Conclusion:**
A **10-liter** estimate is a reasonable approximation for the volume of a standard bathroom sink.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
A standard bathroom sink typically has a volume ranging from 1 to 2 gallons, which translates to about 3.8 to 7.6 liters. This size is perfect for everyday tasks like washing hands and brushing teeth, making them efficient yet compact fixtures for personal hygiene. When estimating the sink's volume for practical purposes, think of it in terms of how much water it can hold at one time. A rough estimate is around 1.5 gallons. This is about enough to fill it halfway for a quick rinse or a shave, providing a functional balance between size and usability in your daily routine!
