Solve the Problem $x ^ { 2 } + y ^ { 2 } = 36$

Multiple Choice

Solve the problem.
-A company applies a clear glaze finish on the outside of the ceramic bowls it produces. The bowl corresponds to the bottom half of a sphere which is created by rotating the circle $x ^ { 2 } + y ^ { 2 } = 36$ around the $x$ -axis. The finish is to be $0.2 \mathrm {~cm}$ thick, and the company wants to create 3000 bowls. Use the fact that $1 \mathrm {~L} = 1000 \mathrm {~cm} ^ { 3 }$ to calculate how many liters of finish are required. Assume that all specifications for the bowl are in $\mathrm { cm }$ .

A) 2.26 L of finish
B) 226.19 L of finish
C) 67.86 L of finish
D) 135.72 L of finish