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Cawker City, Kansas, claims to have the world’s largest ball of twine. Started in by Frank Stoeber, this ball has been created by wrapping more than miles of twine. In fact, this giant ball has a circumference of feet. 

  1. Assuming the ball of twine is a sphere, what are the surface area and volume of the ball of twine?

    The equation for circumference is .

    Use the radius to solve for surface area and volume.

  2. The neighboring town wants to create a ball of twine with double the volume of Cawker City’s ball of twine. What will be the circumference of this ball of twine?

    If the volume is increased by a factor of times, then circumference will be increased by a factor of .