Multiple choice

The lateral surface area and height of a right circular cylinder are 88 cm2 and 4 cm, respectively. Find the radius of its base.

  1. 1.75 cm

  2. 7 cm

  3. 14 cm

  4. 3.5 cm
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D Correct answer
Explanation

Lateral surface area of a cylinder = 2 * pi * r * h. 88 = 2 * (22/7) * r * 4. 88 = (176/7) * r. r = 88 * 7 / 176 = 7 / 2 = 3.5 cm.

AI explanation

Using the formula for the lateral surface area of a right circular cylinder, 2 * pi * r * h = 88. Substituting h = 4 and pi = 22/7 gives 2 * (22/7) * r * 4 = 88. Solving for r gives r = 88 * 7 / 176, which equals 3.5 cm.

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