Multiple choice

The curved surface area and the diameter of a right circular cylinder are 132 cm2 and 7 cm, respectively. Find its height (in cm).

  1. 7

  2. 8

  3. 9

  4. 6
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Curved surface area = 2 * pi * r * h = 132. Diameter = 7, so radius r = 3.5. 2 * (22/7) * 3.5 * h = 132. 22 * h = 132, so h = 6.

AI explanation

The radius of the cylinder is half of the 7 centimetres diameter, which is 3.5 centimetres. Using the curved surface area formula 2 times pi times r times h equals 132, we substitute the radius to get 2 times 22 over 7 times 3.5 times h equals 132. Solving this equation gives 22 times h equals 132, so the height is 6 centimetres.

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