Surface Area of Cylinders Quick Check

Question

3 of 53 of 5 Items

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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Answer 1

Correct response:
cylinder C

Answer 2

u sure

Answer 3

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.

Answer 4

whats the answer then

Answer 5

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.