Multiple choice

The sum of the radius and height of a cylinder is 25" " cm. The total surface area of the cylinder is 1100cm2. What is the volume of the cylinder?

  1. 2772 cm3

  2. 2744 cm3

  3. 2432 cm3

  4. 2140 cm3

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Given r + h = 25, so h = 25 - r. Total surface area = 2πr(r + h) = 1100. Substituting: 2πr(25) = 1100, so r = 1100/(50π) = 22/π. Using π = 22/7: r = 22/(22/7) = 14, so h = 25 - 14 = 11. Volume = πr^2h = (22/7) × 14^2 × 11 = (22/7) × 196 × 11 = 22 × 28 × 11 = 2772 cm^3.