A non-compressible ball in the shape of a sphere is to be passed through a square opening in a board. What is the perimeter of the opening?
As the sphere-shaped ball must pass through the square opening, the side of the square must be equal to or greater than the diameter of the sphere.
Statement 1: The radius of the ball = 2 inches.
However, from this statement, we do not have any information about the side of the square. Hence, statement 1 is not sufficient to answer the question.
Statement 2: The square opening is the smallest square opening through which the ball will fit.
However, from this statement, we have no information about the diameter of the ball. Hence, statement 2 is not sufficient to answer the question.
Combine Both Statements Together
Combining information from both statements, the diameter of the sphere ball is 4 inches.
The square opening is the smallest one through which the ball will fit. Therefore, the side of the square = 4 inches.
Perimeter of the opening = 4 * 4 inches = 16 inches
The correct option is C.