Answer
$(C)$ $295\; cm^3$.
Work Step by Step
Height $h=15\;cm$.
Diameter of the base $=5\;cm$.
Radius of the base $r=\frac{5}{2}=2.5\;cm$.
Volume of the cylindrical glass is $V=\pi r^2h$.
Substitute all values.
$V=\pi (2.5)^2(15)$
Simplify (approximate).
$V=295\; cm^3$
Hence, the correct option is $(C)$ $295\; cm^3$.