Multiple choice

The curved surface area of a right cylinder is (3696 cm^2). Its height is three times its radius. What is the capacity (in litres) of the cylinder? (take (\pi = \frac{22}{7}))

  1. 19.008 liter

  2. 30.87 liter

  3. 25.872 liter

  4. 29.75 liter
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Curved surface area = 2πrh = 3696. Given h = 3r, we have 2πr(3r) = 3696, so 6πr² = 3696. Using π = 22/7: 6 × (22/7) × r² = 3696, giving r² = 196 and r = 14 cm. Then h = 42 cm. Volume = πr²h = (22/7) × 196 × 42 = 25872 cm³ = 25.872 litres (divide by 1000).

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