First, we need to calculate the surface area of each cylinder:
Cylinder A:
Surface area = 2πrh + 2πr^2
Surface area = 2(3.14)(15)(22) + 2(3.14)(15)^2
Surface area = 2(3.14)(330) + 2(3.14)(225)
Surface area = 2070.6 + 1413.0
Surface area = 3483.6 square inches
Cylinder B:
Surface area = 2πrh + 2πr^2
Surface area = 2(3.14)(14)(23) + 2(3.14)(14)^2
Surface area = 2(3.14)(322) + 2(3.14)(196)
Surface area = 2024.8 + 615.44
Surface area = 2640.24 square inches
Cylinder C:
First, we need to calculate the radius of Cylinder C:
Radius = diameter/2
Radius = 24/2
Radius = 12 inches
Surface area = 2πrh + 2πr^2
Surface area = 2(3.14)(12)(21) + 2(3.14)(12)^2
Surface area = 2(3.14)(252) + 2(3.14)(144)
Surface area = 1587.84 + 903.36
Surface area = 2491.2 square inches
Therefore, Cylinder A has the greatest surface area with 3483.6 square inches. Justine should buy Cylinder A if she wants to maximize the surface area.
Justine needs to buy a cylinder, and she has three choices as shown. Cylinder A has a radius of 15 inches and a height of 22 inches. Cylinder B has a radius of 14 inches and a height of 23 inches. Cylinder C has a diameter of 24 inches and a height of 21 inches. Which cylinder has the greatest surface area, which would justify Justine buying it? Use 3.14 for pi
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