SOLUTION: a juice can has a label that is 18 centimeters high and goes around the entire can. What is the area of the area of the label if the diameter is 5 centimeters?

Algebra ->  Surface-area -> SOLUTION: a juice can has a label that is 18 centimeters high and goes around the entire can. What is the area of the area of the label if the diameter is 5 centimeters?      Log On


   

Question 302791: a juice can has a label that is 18 centimeters high and goes around the entire can. What is the area of the area of the label if the diameter is 5 centimeters?
Answer by london maths tutor(243) About Me  (Show Source):
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The juice can can be modelled as a cylinder.
Surface area of a cylinder is +2%2Api%2Ar%2Ah+%2B+2%2Api%2Ar%5E2
where r = radius and h = height of the cylinder
h=18 cm
r = diameter ÷ 2
r = 5/2 cm
r = 2.5 cm
Surface area of the juice can = +2%2Api%2Ar%2Ah+%2B+2%2Api%2Ar%5E2
= 2%2Api%2A2.5%2A18+%2B+2%2Api%2A2.5%5E2 cm^2
= 332 cm^2