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Mathematics

Grade-8

Easy

Question

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? Use 3.14 for π. Calculate the surface area of the label.

150.72 in²
100.48 in²
24 in²
75.36 in²

hint Hint:

The lateral surface area of the cylinder is $2 pi r h$ , where r is the radius of the cylinder and h is the height of the cylinder. The soup label will be in the form of a cylinder.

The correct answer is: 75.36 in²

The lateral surface area of the cylinder is $2 pi r h$ , where r is the radius of the cylinder and h is the height of the cylinder. The soup label will be in the form of a cylinder.
In this question we are given the height = $6 space i n.$ and diameter = $4 space i n.$
Step1: In this question we are given the diameter of the cylinder and we need to find the radius of the cylinder in order to find the lateral surface area
$r equals d over 2$
=> $r equals 4 over 2$
=> $2 space i n.$
Step1: Calculating the lateral surface area of cylinder by putting the values of r and h in the formula of total surface area of cylinder.
$2 pi r h$
=> $2 cross times pi cross times 2 cross times 6$
=> $75.36 space i n squared$
So, the lateral surface area of the cylinder is $75.36 space i n squared$ .

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