Question
You have a 1-gallon paint can in the shape of a cylinder. One gallon is 231 cubic inches. The radius of the can is 3 inches. What is the approximate height of the paint can? Use 3.14 for pi.
Answers
GPT 3.5
First, we need to calculate the volume of the cylinder using the formula:
Volume = πr^2h
Where:
- π is approximately 3.14
- r is the radius, which is 3 inches
- h is the height we are trying to find
We know that the volume of the paint can is 231 cubic inches, so we can set up the equation:
231 = 3.14 * 3^2 * h
231 = 3.14 * 9 * h
231 = 28.26 * h
h = 231 / 28.26
h ≈ 8.16 inches
Therefore, the approximate height of the paint can is 8.16 inches.
Volume = πr^2h
Where:
- π is approximately 3.14
- r is the radius, which is 3 inches
- h is the height we are trying to find
We know that the volume of the paint can is 231 cubic inches, so we can set up the equation:
231 = 3.14 * 3^2 * h
231 = 3.14 * 9 * h
231 = 28.26 * h
h = 231 / 28.26
h ≈ 8.16 inches
Therefore, the approximate height of the paint can is 8.16 inches.