Water leaking onto a floor forms a circular pool. The area of the pool increases at a rate of 25π cm²/min. How fast is the radius of the pool increasing when the radius is 6 cm?
1 Answer
Oct 23, 2016
Explanation:
so from the question, we know that
so in order to find how fast the radius is increasing, we must first determine a relationship between the two values. So, for a circle that is the Area formula
The next part involves related rates and the chain rule.
We know that
(the rate of radius change expressed as two other rates).
So,
using chain rule now.
Sub in 6cm for radius