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The volume of a cylindrical tank that is 23 feet high with a radius of 6.25 feet is _____. (Round your ANSWER: to the nearest cubic foot)

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Answer to a math question The volume of a cylindrical tank that is 23 feet high with a radius of 6.25 feet is _____. (Round your ANSWER: to the nearest cubic foot)

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Hester
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114 Answers
Solution:
1. Given:
* Height, h = 23 feet
* Radius, r = 6.25 feet

2. Formula for the volume of a cylinder:
V = \pi r^2 h

3. Substitute the given values into the formula:
V = \pi \times (6.25)^2 \times 23

4. Calculate (6.25)^2:
* (6.25)^2 = 39.0625

5. Substitute back into the volume formula:
V = \pi \times 39.0625 \times 23

6. Calculate 39.0625 \times 23:
* 39.0625 \times 23 = 898.4375

7. Multiply by \pi (approximately 3.14159:
V = 3.14159 \times 898.4375

8. Calculate the volume V:
* V \approx 2823.6363

9. Round the answer to the nearest cubic foot:
* The volume of the cylindrical tank is approximately 2824 cubic feet.

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