Mathematics
14.06.2021 15:19
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Atypical soda can measures 12 centimeters tall and has a volume of 235.5 cubic centimeters.
Atypical soda can measures 12 centimeters tall and has a volume of 235.5 cubic centimeters. to the nearest whole number, how many square centimeters of aluminum are required to make a can?
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hidagiser
4,9(42 marks)
228 cm²
Step-by-step explanation:
The volume of a cylinder of radius r and height h is given by ...
V = πr²·h
Filling in the given information, we can solve for r:
235.5 = π·r²·12
√(235.5/(12π)) = r ≈ 2.49937 . . . . cm
The area of a cylinder is given by ...
A = 2πr² + 2πrh = 2πr(r +h)
Filling in the radius and height, we can find the area to be ...
A = 2π·2.49937·(2.49937 +12) ≈ 227.698 . . . . cm²
About 228 cm² of aluminum are required to make a typical soda can.
darkpain4371
4,4(90 marks)
Step-by-step explanation:
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