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
To find the height of the can, we can use the formula for the volume of a cylinder which is V = πr^2h, where V is the volume, r is the radius, and h is the height.
First, we need to find the radius of the cylinder. The diameter of the can is given as 4 inches, so the radius is half of the diameter:
r = 4 / 2 = 2 inches
Now we can substitute the given volume into the formula and solve for the height:
450 = π(2)^2h
450 = 4πh
h = 450 / (4π)
h ≈ 35.8 inches
Therefore, the height of the can is approximately 35.8 inches.