Multiple choice

The curved surface area and the total surface area of a cylinder are in the ratio 1 : 2. If the total surface area of the right cylinder is 616 cm2, then its volume is

  1. 1232 cm3

  2. 1848 cm3

  3. 1632 cm3

  4. 1078 cm3
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Curved Surface Area (CSA) = 2*pi*r*h. Total Surface Area (TSA) = 2*pi*r*h + 2*pi*r^2. Ratio CSA/TSA = 1/2 implies 2*pi*r*h = 2*pi*r^2, so h = r. TSA = 2*pi*r^2 + 2*pi*r^2 = 4*pi*r^2 = 616. r^2 = 616 / (4 * 22/7) = 49. r = 7, h = 7. Volume = pi*r^2*h = (22/7) * 49 * 7 = 1078.

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