Multiple choice

A hollow cylinder has height 90 cm and the outer curved surface area is 11,880 cm2. It can hold 55,440 cm3 of air inside it. What is the thickness (in cm) of this cylinder?

  1. 10.5

  2. 14

  3. 7

  4. 3.5
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C Correct answer
AI explanation

Using the outer curved surface area formula, 2 * (22/7) * R * 90 = 11880, so the outer radius R is 21 cm. Given the volume of air it holds is the inner volume, (22/7) * r^2 * 90 = 55440, which gives the inner radius r as 14 cm. The thickness of the cylinder is the difference between the radii, 21 - 14 = 7 cm.

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