Multiple choice

The volume of a right cylinder having base radius $10\ cm$ is $600\pi \ {cm}^{3}$. Find the height of the cylinder.

  1. $6\ cm$
  2. $8\ cm$
  3. $4\ cm$
  4. $5\ cm$
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A Correct answer
Explanation

The volume of a cylinder is given by V = pi * r^2 * h. Substituting the given values, 600 * pi = pi * (10^2) * h, which simplifies to 600 = 100 * h, so h = 6 cm.

AI explanation

The volume of a cylinder is calculated by the formula pi multiplied by the square of the radius multiplied by the height. Equating the given volume to the formula results in 600 multiplied by pi equals pi multiplied by 10 squared multiplied by h, which simplifies to 600 equals 100h. Therefore, the height of the cylinder is 6 centimeters.

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