Multiple choice

The total surface area of a solid right circular cylinder of height 13 cm is 880 cm2. Its volume (in cm3) is 11k. The value of k is: (take π=22/7)

  1. 208

  2. 182

  3. 104

  4. 91
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Using total surface area formula 2πr(h + r) = 880 with h = 13 and π = 22/7, we solve for r: r(13 + r) = 140. Solving r² + 13r - 140 = 0 gives r = 7 cm. Volume = πr²h = (22/7) × 49 × 13 = 2002 cm³. Since 2002 = 11k, k = 182.

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