Final answer:
To calculate the weight of glass bottles inside a cylindrical container, one must find the volume of the cylinder and use the density of glass to determine the weight. The volume, using the cylinder's dimensions, is approximately 10.985 cubic feet, and assuming a density of glass at 162 lb/ft^3, the contents weigh approximately 28473.1 ounces.
Step-by-step explanation:
The question pertains to calculating the weight of glass bottles inside a cylindrical container, using the average weight of aluminum cans per square foot for an unrelated data point. We need to calculate the volume of the cylinder first and then find the weight using the given density of glass instead of aluminum (as aluminum density is provided in the background information but is irrelevant for glass bottles).
First, we calculate the volume of the cylinder. The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height. The radius is half the diameter, so r = 1 foot. Using π ≈ 3.14, the volume is:
V = 3.14 × (1 ft)^2 × 3.5 ft ≈ 10.985 ft^3
Next, we need to know the density of glass to calculate the weight. Assuming the density of glass is about 162 lb/ft^3, we calculate the weight:
Weight = Volume × Density
Weight = 10.985 ft^3 × 162 lb/ft^3 ≈ 1779.57 lb
To convert pounds to ounces (since the question confusingly gives a density in ounces per square foot), we multiply the weight in pounds by 16 (16 ounces in a pound):
Weight in ounces ≈ 1779.57 lb × 16 oz/lb ≈ 28473.12 oz, which we would round to 28473.1 oz.