Question
A can is in the shape of a cylinder. The can has a volume of 450 cubic inches and a diameter of 4 inches. To the nearest tenth of an inch, what is the height of the can?
Answers
GPT 3.5
First, we need to find the height of the cylinder using the formula for the volume of a cylinder:
V = πr^2h
Given that the diameter of the cylinder is 4 inches, the radius (r) is half of the diameter, so r = 2 inches.
Plugging in the values we have:
450 = π(2)^2h
450 = 4πh
h = 450 / (4π)
h ≈ 35.8 inches
Therefore, the height of the can is approximately 35.8 inches.
V = πr^2h
Given that the diameter of the cylinder is 4 inches, the radius (r) is half of the diameter, so r = 2 inches.
Plugging in the values we have:
450 = π(2)^2h
450 = 4πh
h = 450 / (4π)
h ≈ 35.8 inches
Therefore, the height of the can is approximately 35.8 inches.