Multiple choice

The radius and height of a solid cylinder are increased by 2% each. What will be the approximate percentage increase in volume?

  1. 6.76

  2. 5.88

  3. 6.12

  4. 3.34
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Volume V = pi * r^2 * h. If r and h increase by 2%, new volume V' = pi * (1.02r)^2 * (1.02h) = V * (1.02)^3 = V * 1.061208. The increase is approximately 6.12%.

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