Multiple choice

Lateral surface area and total surface area of a cylinder are in ratio 2 : 3. If lateral surface area is 154 sq. cm, what will be the volume of the cylinder?

  1. 324.7 cm3

  2. 311.5 cm3

  3. 281.4 cm3

  4. 269.5 cm3

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

Lateral surface area (LSA) = 2*pi*r*h = 154. Total surface area (TSA) = 2*pi*r*h + 2*pi*r^2. Given LSA/TSA = 2/3, we have 154 / (154 + 2*pi*r^2) = 2/3. Solving this gives 2*pi*r^2 = 77. Using LSA=154, we find r=3.5 and h=7. Volume = pi*r^2*h = 269.5.