A team of American engineers is working with a team in Germany to design an engine. They need to know the volume of the interior of a piston; in this engine, the volume of each piston is given by \begin{align*} V(x) = 10.125\pi x^2 \end{align*} where is the diameter of the piston in centimeters. However, the American team took all their measurements in inches. There are 2.54 centimeters in each inch.

a) Write a formula that converts inches to centimeters.

b) Give a formula for the volume of the cylinder which has input in inches.

Hint: