Multiple choice

A skating board rocks back and forth on a wooden cylinder. The cylinder has a radius of 6 inches and a surface area is $\displaystyle 590{ in }^{ 2 }$. Find the height of the cylinder. ($\displaystyle \pi =3.14$).

  1. $10$ in
  2. $9.65$ in
  3. $9$ in
  4. $9.5$ in
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The surface area of a cylinder is 2 * pi * r * (r + h) = 590. Given r = 6 and pi = 3.14, we have 2 * 3.14 * 6 * (6 + h) = 590. This simplifies to 37.68 * (6 + h) = 590, so 6 + h = 15.658, and h = 9.658.

AI explanation

Using the total surface area formula for a cylinder, 2 * pi * r * (r + h) = 590, we substitute the radius of 6 inches: 2 * 3.14 * 6 * (6 + h) = 590. This simplifies to 37.68 * (6 + h) = 590, so 6 + h = 15.658, yielding a height of 9.65 inches.

Keep practicing — related questions