Multiple choice

The sum of the radius and height of a cylinder is 19m. The total surface area of the cylinder is 1672 m², what is the radius and height of the cylinder?(in m)

  1. 12, 7

  2. 11, 8

  3. 13, 6

  4. 14, 5

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

Total Surface Area = 2 * pi * r * (r + h) = 1672. Given r + h = 19. 2 * (22/7) * r * 19 = 1672 => r = (1672 * 7) / (44 * 19) = 14. Then h = 19 - 14 = 5.

AI explanation

Using the total surface area formula for a cylinder, 2 times pi times radius times the sum of radius and height equals 1672. Substituting pi as 22/7 and knowing the sum of the radius and height is 19, we get 2 times (22/7) times radius times 19 equals 1672. Solving this gives the radius as 14 m, and subtracting this from 19 gives the height of 5 m.