Multiple choice

A cylinder has a diameter of 10 inches and a height of 15 inches. What is the surface area, in square inches, of the cylinder?

  1. 100π

  2. 192π

  3. 200π

  4. 220π
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C Correct answer
Explanation

Surface area of a cylinder is 2*pi*r*h + 2*pi*r^2. With r=5 and h=15, area = 2*pi*5*15 + 2*pi*25 = 150pi + 50pi = 200pi.

AI explanation

Using the total surface area formula for a cylinder, which is 2 * pi * r * (h + r), we first find the radius from the given diameter of 10 inches, making the radius 5 inches. Substituting the radius of 5 and height of 15 into the formula gives 2 * pi * 5 * (15 + 5). This simplifies to 10 * pi * 20, which equals 200 pi square inches.

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