Multiple choice

The radius of a cylindrical drum is 5 m more than its height. If its curved surface is 792 m2, then what is the volume of the cylinder (in m3)?

  1. 5,306

  2. 5,712

  3. 5,244

  4. 5,544

  5. 5,462
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The clock loses 16 minutes every 24 hours. From 5 a.m. on day 1 to 10 p.m. on day 3 is 48 hours + 17 hours = 65 hours. The loss is (16/24) * 65 = 43.33 minutes. Since the clock shows 10 p.m., the actual time is 10 p.m. + 43.33 minutes, which is approximately 10:43 p.m. Option B is the closest.

AI explanation

Let the height be h, making the radius r = h + 5. Using the curved surface area formula, 2 * pi * r * h = 792, so 2 * 22/7 * (h + 5) * h = 792, which yields h = 9 and r = 14. The volume of the cylinder is pi * r^2 * h = 22/7 * 14 * 14 * 9 = 5544 cubic metres.

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