Question
Numeric 1 point A cylindrical gas tank holds approximately 401.92 cubic feet of fuel. The RADIUS of the tank is 4 feet. Find the Type your answer...
Ask by Bryant Watson. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The height of the tank is 8 feet.
Solution
To find the **height** of the cylindrical gas tank, you can use the formula for the volume of a cylinder:
\[ V = \pi r^2 h \]
Where:
- \( V \) is the volume (401.92 cubic feet)
- \( r \) is the radius (4 feet)
- \( h \) is the height
Rearranging the formula to solve for height \( h \):
\[ h = \frac{V}{\pi r^2} \]
Plugging in the values:
\[ h = \frac{401.92}{\pi \times 4^2} = \frac{401.92}{\pi \times 16} = \frac{401.92}{50.2655} \approx 8 \text{ feet} \]
**Answer:**
8
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Simplify this solution Mind Expander
To find the height of the cylindrical gas tank, we can use the formula for the volume of a cylinder: \( V = \pi r^2 h \). Given that the volume \( V \) is 401.92 cubic feet and the radius \( r \) is 4 feet, we can rearrange the formula to solve for \( h \): \[ h = \frac{V}{\pi r^2} \] Substituting in the values: \[ h = \frac{401.92}{\pi \times 4^2} = \frac{401.92}{\pi \times 16} \approx \frac{401.92}{50.27} \approx 7.98 \] Therefore, the height of the tank is approximately 8 feet. Let me know if you need further calculations or explanations!
