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.
, where r represents radius of circle.
![\text{Perimeter of circle}=2\pi (12\text{ inches})](https://img.qammunity.org/2021/formulas/mathematics/high-school/o4dx5ag2pfk3j3ahyfbsw3mc6enfgh9lju.png)
![\text{Perimeter of circle}=24\pi \text{ inches}](https://img.qammunity.org/2021/formulas/mathematics/high-school/wcq521wnhlhng15k0990uh9sdkigwa7gz2.png)
![\text{Perimeter of circle}=75.39822 \text{ inches}](https://img.qammunity.org/2021/formulas/mathematics/high-school/gm8sxn3768uxde0ydy3dmkvl4tz8ybsebq.png)
![\text{Perimeter of circle}\approx 75.4 \text{ inches}](https://img.qammunity.org/2021/formulas/mathematics/high-school/aralj6o68t8djqegd8om5z64qj19w1zolf.png)
Therefore, the rim of the bowl is approximately 75.4 inches.