Question

A label is placed on a soup can during manufacturing. If the label is represented by the rectangle in the figure, how many square inches is the label? Answer in terms of π. image of a net drawing of a cylinder is shown as two circles each with a radius labeled 3 inches and a rectangle with a height labeled 8.2 inches

67.2π square inches
61.2π square inches
58.2π square inches
49.2π square inches

Answer 1

• Answer: The area of the Labels: 49.2π square inches

Therefore, The Area of the Labels is: 49.2π square inches

• Explanation:

Make a plan:

Calculate the Area of the Rectangle, Which Represents the label, Using the Given Dimensions and the formula for the Circumference of a Circle:

• SOLVE THE PROBLEM: π

Calculate the CIRCUMFERENCE of the CIRCLE

(Which is the Length of the Rectangle ):

C = 2 * π * r = 2 * π * 3 = 6π

• Calculate the AREA of the RECTANGLE (Label):

A = Length * Height

6π * 8.2

= 49

• DRAW THE CONCLUSION:

Therefore, The Area of the Labels is: 49.2π square inches

I hope this helps you!