Campbell Soup is creating a new soup label. If a can has a height of 6 in and a diameter of 4 in, how much material does Campbell need for each soup label? Round to the nearest tenth.

Question

HINT*** SOUP Label = Lateral
Campbell Soup is creating a new soup label. If a can has a height of 6 in and a diameter of 4 in, how much material does Campbell need for each soup label? Round to the nearest tenth.

HINT*** SOUP Label = Lateral

Answer 1

First, we need to calculate the lateral surface area of the can, which will be the surface area of the label.

The lateral surface area of a cylinder can be calculated using the formula: 2πrh, where r is the radius of the can and h is the height of the can.

Given that the diameter of the can is 4 in, the radius (r) will be half of the diameter, which is 2 in.

So, the lateral surface area of the can label will be:
2π(2)(6) = 24π in²

Now, we can calculate the actual amount of material needed for the label by rounding to the nearest tenth.
24π ≈ 75.4 in²

Therefore, Campbell Soup will need approximately 75.4 square inches of material for each soup label.