The Half-Full Cup
Geometry
A cup is shaped like a frustum of a cone with height $3$ inches, bottom radius $3$ inches, and top radius $5$ inches. At what water level, measured from the bottom of the cup, is the volume of water exactly half of the cup's total volume?
A$\frac{3\sqrt[3]{76}-9}{2}$
B$\frac{3}{2}$
C$\frac{3\sqrt[3]{49}-9}{2}$
D$\frac{3\sqrt[3]{152}-9}{2}$