A non-compressible ball in the shape of a sphere is to be passed through a square opening

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?

  1. The radius of the ball is equal to 2 inches.
  2. The square opening is the smallest square opening through which the ball will fit.

Answer

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.