We have been given that an artist cuts the bottom 4 inches from an empty sphere with a radius of 12 inches to make a bowl. We are asked to find the length of the rim of the bowl.
The rim of the bowl will be equal to the perimeter of circle with radius of 12 inches.
[tex]\text{Perimeter of circle}=2\pi r[/tex], where r represents radius of circle.
[tex]\text{Perimeter of circle}=2\pi (12\text{ inches})[/tex]
[tex]\text{Perimeter of circle}=24\pi \text{ inches}[/tex]
[tex]\text{Perimeter of circle}=75.39822 \text{ inches}[/tex]
[tex]\text{Perimeter of circle}\approx 75.4 \text{ inches}[/tex]
Therefore, the rim of the bowl is approximately 75.4 inches.