A roll of paper towels is 11 inches high and 6 inches in diameter. If a 300 - square inch sheet of plastic is provided to wrap the paper towels, how much extra plastic is there?

36.1 in²

Step-by-step explanation:

The total surface area of a cylinder of height h and radius r is given by ...

SA = 2πr² + 2πrh = 2πr (r+h)

For a cylinder of height 11 inches and radius 3 inches, the surface area is ...

SA = 2π (3 in) (3 in + 11 in) = 84π in² ≈ 263.9 in²

Then the "extra" wrap area is ...

300 in² - 263.9 in² = 36.1 in²