1.60: Related Rates for a Circular Pool

4PM1/2/June/2019 — Question 2 · 6 marks

Oil leaking from a pipeline forms a circular pool on the ground. The area of the pool increases at a constant rate of 8cm2/s\displaystyle 8\,\mathrm{cm}^2/\mathrm{s}.
Find the rate of increase of the radius of the pool, in cm/s\displaystyle \mathrm{cm}/\mathrm{s} to 3 significant figures, at the instant when the area of the pool is 50cm2\displaystyle 50\,\mathrm{cm}^2.
(6)