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)
First, we need to find the radius of the can using the diameter provided:
radius = diameter / 2
radius = 3 inches / 2
radius = 1.5 inches
Next, we can use the formula for the volume of a cylinder to find the height of the can:
V = π * r^2 * h
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 inches
Therefore, the height of the can is approximately 4.5 inches.