Final answer:
To find the height of the can, we use the volume formula of a cylinder, V = πr²h, with the given volume and radius. Upon calculating, we determine the height of the can to be approximately 5 inches.
Step-by-step explanation:
To find the height of a cylinder when given the volume and the radius, you would use the formula for the volume of a cylinder, which is V = πr²h. In this case, the radius (r) is 2 inches and the volume (V) is 62.8 cubic inches. We are asked to solve for the height of the cylinder (h). First, substitute the given values into the formula:
62.8 = 3.14 × (2²) × h
Next, calculate the area of the base (which is the circle with radius 2 inches):
A = πr² = 3.14 × 2² = 3.14 × 4 = 12.56 square inches
Now, to find h, we divide the volume by the area of the base:
h = V / A = 62.8 / 12.56
h ≈ 5 inches
Therefore, the height of the can is approximately 5 inches.