Given that P propto frac 1 sqrt r and p 3 when ... - WAEC Mathematics 2004 Question

(P \propto \frac{1}{\sqrt{r}} P=3\hspace{1mm}r=16<br /> P = \frac{k}{\sqrt{r}}\Rightarrow 3 = \frac{k}{\sqrt{16}}\Rightarrow \frac{3}{1} = \frac{k}{4} \ \Rightarrow K = 12 \Rightarrow K = 12; P\sqrt{r} = k \Rightarrow \sqrt{r} = \frac{k}{p}<br /> r = \frac{(k)^2}{P}=12^2 \div \frac{3}{2}=\left(\frac{12}{1}\times \frac{2}{3}\right)=8^2<br /> r = 64)