Question

A customer has contracted a manufacturer to design a cylindrical soft-drink can that has a volume of exactly 95 cubic inches. The manufacturer has designed a cylindrical can having a base with a radius of 3 inches and a height of 3.5 inches. Will this design work for the contract specifications? Explain.

Answer 1

The manufacturer's design does not meet the contract specifications.

Step-by-step explanation:

To determine if the manufacturer's design will work for the contract specifications, we need to calculate the volume of the cylindrical can they have designed. The volume of a cylinder can be calculated using the formula V = πr²h, where V is the volume, r is the radius of the base, and h is the height of the cylinder.

For the given design, the radius of the base is 3 inches and the height is 3.5 inches. Plugging these values into the formula, we get:

V = 3.142 × (3 inches)² × 3.5 inches = 98.97 cubic inches

Since the volume of the designed can is 98.97 cubic inches, which is greater than the required volume of 95 cubic inches, the design does not meet the contract specifications.