GAUSS8 2023 Problem 23

Each of two cylinders sits on one of their circular faces on a flat surface. Cylinder A, with radius 6 \mathrm{~cm} and height 50 \mathrm{~cm}, is empty. Cylinder B, with radius 8 \mathrm{~cm} and height 50 \mathrm{~cm}, is full of water. After pouring some water from Cylinder B into Cylinder A, the height of the water in both cylinders is the same. What is the height of the water? (The volume of a cylinder with radius r and height h is \pi r^{2} h.)

Answer Choices
A. 28.1 \mathrm{~cm}
B. 25.0 \mathrm{~cm}
C. 32.0 \mathrm{~cm}
D. 44.4 \mathrm{~cm}
E. 28.6 \mathrm{~cm}