Multiple choice

The volume of a cylinder is $\displaystyle 1331{ \pi cm }^{ 3 }$ and height $20$ cm. Find its radius.

  1. $8.05$ cm
  2. $8.01$ cm
  3. $8.25$ cm
  4. $8.15$ cm
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D Correct answer
Explanation

Volume = pi * r^2 * h. 1331 * pi = pi * r^2 * 20. r^2 = 1331 / 20 = 66.55. r = sqrt(66.55) is approximately 8.1578. The closest option is 8.15.

AI explanation

Using the cylinder volume formula V = pi * r^2 * h, we substitute the volume of 1331pi and the height of 20 cm to find the radius. The equation becomes 1331pi = pi * r^2 * 20, which simplifies to r^2 = 1331 / 20 = 66.55. Taking the square root of 66.55 gives r = 8.1576, which rounds to 8.15 cm. The radius of the cylinder is 8.15 cm.

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