Multiple choice

The volume of a cylinder is 2500π cm3 and the radius is 25 cm. The height of the cylinder is equal to the diagonal of a square. Find the area of the square.

  1. 16

  2. 8

  3. 4

  4. 20

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

Volume of cylinder = πr²h = 2500π. Given r = 25 cm, so π×25²×h = 2500π. 625π×h = 2500π, therefore h = 2500/625 = 4 cm. The height equals the diagonal of a square. For a square with side 's', diagonal = s√2. So s√2 = 4, giving s = 4/√2 = 2√2 cm. Area of square = s² = (2√2)² = 4×2 = 8 cm².

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