Multiple choice

A milkman uses a cylindrical container of height 25 cm and curved surface area 1100 cm2. Find the total surface area of the container used by the milkman.

  1. 1100 cm2

  2. 1408 cm2

  3. 708 cm2

  4. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

CSA = 2*pi*r*h = 1100. 2*pi*r*25 = 1100, so 2*pi*r = 44. TSA = CSA + 2*pi*r^2 = 1100 + r*(2*pi*r) = 1100 + r*44. Since 2*pi*r = 44, r = 44/(2*pi) = 22/pi. TSA = 1100 + (22/pi)44 = 1100 + 968/pi. Using pi = 22/7, TSA = 1100 + 968(7/22) = 1100 + 308 = 1408.

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