Multiple choice

The sum of the radius and height of a cylinder is 35 cm. its total surface area is 1540 cm2. What is the volume of cylinder?

  1. 4312cm3

  2. 4213cm3

  3. 3735cm3

  4. 3672cm3

  5. 4532cm3
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Given r + h = 35 cm. Total surface area = 2πr(r + h) = 1540 cm². Substituting: 2πr(35) = 1540, so 70πr = 1540. Using π = 22/7, r = 1540 × 7/70 × 22 = 7 cm. Then h = 35 - 7 = 28 cm. Volume = πr²h = 22/7 × 49 × 28 = 4312 cm³.

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