Multiple choice

The volume of a right circular cylinder is 1100 $\displaystyle cm^{3} $ and the radius of its base is 5 cm. The area of its curved surface is

  1. $\displaystyle \left ( 440+25\pi \right )cm^{2} $
  2. $\displaystyle \left ( 440+50\pi \right )cm^{2} $
  3. $\displaystyle 440 cm^{2} $

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

Volume V = pi * r^2 * h = 1100. r = 5. pi * 25 * h = 1100 => h = 1100 / (25 * pi) = 44 / pi. Curved surface area = 2 * pi * r * h = 2 * pi * 5 * (44 / pi) = 10 * 44 = 440.

AI explanation

Using the cylinder volume formula V = pi * r^2 * h, the height is found by dividing 1100 by (pi * 25), which gives h = 44 / pi. Substituting this into the curved surface area formula, CSA = 2 * pi * r * h, results in 2 * pi * 5 * (44 / pi). The pi terms cancel out, leaving the curved surface area as 440 cm^2.

Keep practicing — related questions