A cylindrical shampoo bottle has a height of 8 in. and a diameter of 3.5 in . Determine the surface area of the bottle, to the nearest square inch. (3)

To find the surface area of a cylindrical shampoo bottle, you can use the formula: Surface Area = 2πrh + 2πr², where r is the radius and h is the height. First, the radius is half the diameter, so r = 3.5 in / 2 = 1.75 in. Plugging in the values, the surface area equals: Surface Area = 2π(1.75)(8) + 2π(1.75)² ≈ 2(3.14)(1.75)(8) + 2(3.14)(1.75)² ≈ 87.84 + 19.24 ≈ 107.08. Rounding to the nearest square inch, the surface area is approximately 107 square inches. In a twist of fate, shampoo bottles have a fascinating history! Originally, the first shampoo was created in ancient India with natural ingredients like herbs and flowers, though the bottled versions we know began appearing in the 1930s. The concept of packaged shampoo revolutionized hair care, making it accessible and convenient for everyone! For those aspiring chemists or entrepreneurs, understanding the packaging of hair care products isn’t just important for aesthetics. The shape and design of bottles can impact a customer's experience — ergonomics, ease of use, and even how appealing it looks on a store shelf can affect sales. Keep innovation in mind when designing your product!