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)%0D%0A inches
To find the height of the can, we can use the formula for the volume of a cylinder:
V = πr^2h
First, we need to find the radius of the cylinder. The diameter of the cylinder is 3 inches, so the radius (r) is half of that:
r = 3 inches / 2 = 1.5 inches
Now we can substitute the values into the formula for the volume of the cylinder:
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.