Option D is correct. When r = 3.2 and h =3 can will need least amount of paper.
What is curved surface area ?
The lateral surface of an object is the area of all the sides of the object, excluding the area of its base and top.
Curved surface area of cylinder
The lateral surface area of a cylinder is the surface area covered by its curved surface only.
Formula for finding the curved surface area of cylinder
Total surface area of cylinder = 2πrh
where,
r is the radius of cylinder
h is the height of the cylinder
According to the given question
we have
a soup can whose shape is of cylinder.
For finding the least amount of paper required to make label we have to calculate the curved surface
A). when, r = 2 inches and h = 6 inches
curved surface area of soup can = 2π×2×6 = 24×3.14 =75.36 square inches
B).
when, r = 2.5 inches and h = 5 inches
curved surface area of soup can = 2×3.14×2.5×5= 78.5 square inches
C).
when r = 3 inches and h = 4 inches
curved surface area of soup can = 2×3.14×3×4= 75.36 square inches
D).
when r=3.2 inches and h = 3 inches
Curved surface area of soup can = 2×3.14×3.2×3= 60.88 square inches.
Hence, when r = 3.2 inches and h = 3 inches can will need least amount of paper to make a new label.
Thus, option D is correct.
Learn more about the curved surface area here:
https://brainly.in/question/7264222
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