Multiple choice

A cylinder with a radius of $4$ inches has a volume of $\displaystyle 251.2{ inches }^{ 3 }$. What is the height of the cylinder?

  1. $6$ inches
  2. $5$ inches
  3. $7$ inches
  4. $8$ inches
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Volume of cylinder = pi * r^2 * h. 251.2 = 3.14 * 4^2 * h. 251.2 = 3.14 * 16 * h. 251.2 = 50.24 * h. h = 251.2 / 50.24 = 5.

AI explanation

Using the cylinder volume formula V = pi * r^2 * h, we substitute the radius of 4 inches and the volume of 251.2 cubic inches to find the height. The equation becomes 251.2 = 3.14 * 4^2 * h, which simplifies to 251.2 = 3.14 * 16 * h. Solving for h gives h = 251.2 / 50.24 = 5 inches. The height of the cylinder is 5 inches.

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