Multiple choice

Sum of the radius of the base and the height of a solid cylinder is 38 inches. If its radius is 6 inches, what is the total surface area of the cylinder?

  1. 1362.82 inches2

  2. 1431.84 inches2

  3. 1492.69 inches2

  4. 1554.24 inches2
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Radius r = 6. r + h = 38, so h = 32. Total Surface Area = 2 * pi * r * (r + h) = 2 * pi * 6 * 38 = 456 * pi. Using pi = 3.14159, 456 * 3.14159 = 1432.56. The closest option is 1431.84.

AI explanation

Given the sum of the radius and height is 38 inches and the radius is 6 inches, the height of the cylinder is 32 inches. Using the total surface area formula for a cylinder, the area equals 2 times pi times r times (h + r). Substituting the values gives 2 times 3.14 times 6 times 38, which equals 1431.84 inches2.

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