1.64: Diagram

Figure 2 shows a solid right circular cylindrical metal rod.

The diameter of the rod is $\displaystyle x\mathrm{cm}$ and the length of the rod is $\displaystyle 10x\mathrm{cm}.$

The rod is being heated so that the length of the rod is increasing at a rate of $\displaystyle 0.005$ cm/s.

Find the rate of increase, in $\displaystyle \mathrm{cm}^3/\mathrm{s}$ to $\displaystyle 2$ significant figures, of the volume of the rod

when $\displaystyle x = 3$