Question

A typical 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?

Answer 1

Answer:

  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.