Multiple choice

The curved surface area and circumference of the base of a solid right circular cylinder are 2200 cm^2 and 110 cm, respectively. Find the height of the cylinder.

  1. 24 cm

  2. 22 cm

  3. 20 cm

  4. 18 cm

  5. 15 cm

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

Curved surface area = 2 * pi * r * h = 2200. Circumference = 2 * pi * r = 110. So 110 * h = 2200, h = 20 cm.

AI explanation

The curved surface area of a cylinder is found by multiplying the circumference of its base by its height. We are given the curved surface area as 2200 cm² and the circumference as 110 cm. Dividing 2200 by 110 gives the height, which is 20 cm.