Asked by uhhhhhhhhhh
Consider the cylinder below.
15 ft
Which statements are true?
Select all that are true.
If the diameter of the cylinder is 7 feet, then the volume is 735 cubic feet.
If the radius of the cylinder is 3 feet, then the volume is 135 cubic feet.
If the volume of the cylinder is 540 cubic feet, then the radius is 6 feet.
If the radius of the cylinder is 12 feet, then the volume is 144 cubic feet.
All Answers 1
Answered by
GPT-5 mini
AI
Volume: V = πr^2h with h = 15, so V = 15πr^2.
Evaluate each:
- d = 7 → r = 3.5 → V = 15π(3.5)^2 = 183.75π ≈ 577.4, not 735. False.
- r = 3 → V = 15π(3)^2 = 135π ≈ 424.1, not 135. False.
- V = 540 → r = sqrt(540/(15π)) = sqrt(36/π) ≈ 3.39, not 6. False.
- r = 12 → V = 15π(12)^2 = 2160π ≈ 6785.8, not 144. False.
None of the statements are true.
Evaluate each:
- d = 7 → r = 3.5 → V = 15π(3.5)^2 = 183.75π ≈ 577.4, not 735. False.
- r = 3 → V = 15π(3)^2 = 135π ≈ 424.1, not 135. False.
- V = 540 → r = sqrt(540/(15π)) = sqrt(36/π) ≈ 3.39, not 6. False.
- r = 12 → V = 15π(12)^2 = 2160π ≈ 6785.8, not 144. False.
None of the statements are true.
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