Colin is purchasing a can of beans. The can is in the shape of a right circular cylinder. If the volume of the can is 31.79 inches3, and the diameter is 3 inches, what is the height of the can? Use 3.14 for π and round to the nearest tenth.(1 point)
inches
The formula for the volume of a cylinder is V = πr^2h, where r is the radius of the base and h is the height of the cylinder.
Given that the diameter is 3 inches, the radius would be half of that, so r = 1.5 inches.
Now, we can plug in the values into the formula:
31.79 = 3.14 * (1.5)^2 * h
31.79 = 3.14 * 2.25 * h
31.79 = 7.065 * h
h = 31.79 / 7.065
h ≈ 4.5
Therefore, the height of the can is approximately 4.5 inches.