Surface Area of Cylinders Quick Check
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Question
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 π .
(1 point)
Responses
cylinder C
cylinder C
cylinder A
cylinder A
All of the cylinders have the same surface area.
All of the cylinders have the same surface area.
cylinder B
cylinder B
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Correct response:
cylinder C
u sure
Yes, I am sure.
The surface area of a cylinder can be calculated using the formula: 2πr(r+h), where r is the radius and h is the height of the cylinder.
For Cylinder A:
r = 15 inches, h = 22 inches
Surface Area = 2(3.14)(15)(15 + 22) = 2(3.14)(15)(37) ≈ 3,311.4 square inches
For Cylinder B:
r = 14 inches, h = 23 inches
Surface Area = 2(3.14)(14)(14 + 23) = 2(3.14)(14)(37) ≈ 3,127.68 square inches
For Cylinder C:
diameter = 24 inches (radius = 12 inches), h = 21 inches
Surface Area = 2(3.14)(12)(12 + 21) = 2(3.14)(12)(33) ≈ 2,385.12 square inches
As calculated, Cylinder A has the greatest surface area, therefore Justine should buy Cylinder A.
whats the answer then
I apologize for the confusion. The correct response is:
cylinder A
Cylinder A has the greatest surface area among the options given, so it would justify Justine buying it.