radius of an oil slick in terms of the time the tank has been leaking?

Question

Oil is leaking from an oil tanker at the rate of 2000 liters per hour. 8 liters of oil spread out over 10 square meters of ocean surface. A circular oil slick forms.

(a) Express the radius R of the oil slick as a function of the time t (in hours) the tank has been leaking. If your answer involves pi type pi not 3.14
R(t)= ____meters


(b) After how many hours will the oil slick have radius 1 kilometer?

thank you so much!...is there anyway someone can explain how to get that answer for me...

Answer 1

a)
A = πR^2 = (10 m^2/8 L)(2,000 L/hr)t = 2,500t
R = 50√(t/π) m, t in hrs

b)
t = π(R/50)^2
t = 1,256.6 hr