### Home > INT2 > Chapter 12 > Lesson 12.1.1 > Problem12-11

12-11.

Cawker City, Kansas, claims to have the world’s largest ball of twine. Started in $1953$ by Frank Stoeber, this ball has been created by wrapping more than $1300$ miles of twine. In fact, this giant ball has a circumference of $40$ 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 $2πr$.

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 $2$ times, then circumference will be increased by a factor of $2^{1/3}$.