Multiple choice

If the volume of a cylinder of height 56 cm. is equal to the volume of the cube of 11 cm. side, then find the radius of the base of the cylinder.

  1. 2.25 cm.

  2. 2.5 cm.

  3. 2.75 cm.

  4. 3.25 cm.

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

Volume of cube with side 11 cm = 11³ = 1331 cm³. Volume of cylinder = πr²h = πr² × 56. Equating: πr² × 56 = 1331. Solving: r² = 1331/(56π) ≈ 1331/175.93 ≈ 7.56. Therefore: r ≈ √7.56 ≈ 2.75 cm.

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