Question:
Danny Henry made a waffle on his six-inch-diameter circular griddle using batter containing a half a cup of flour. Using the same batter, and knowing that all waffles have the same thickness, how many cups of flour would Paul Bunyan need for his 24-foot-diameter circular griddle?

Answer:
Say Paul and Danny's griddles have diameters $d_1$ and $d_2$, respectively. Paul's griddle has $\frac{d_1}{d_2}=\frac{24\text{ ft}}{.5\text{ ft}}=48$ times the diameter and therefore $\frac{\pi d_1^2/4}{\pi d_2^2/4}=\left(\frac{r_1}{r_2}\right)^2=48^2=2304$ times the area. It requires $2304$ times as much flour, or $2304\cdot0.5=\boxed{1152}$ cups of flour.