Multiple choice

The area of the curved surface of a right circular cylinder is 17.5 m2 and its volume is 14 m3. What is the radius of its base?

  1. 0.8

  2. 2

  3. 1.6

  4. 2.5

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

Curved surface area = 2πrh = 17.5, Volume = πr²h = 14. Dividing volume by CSA: (πr²h)/(2πrh) = r/2 = 14/17.5 = 0.8, so r = 1.6. This elegant solution uses the relationship between the two formulas rather than solving for h separately. The radius of 1.6 m is Option C.