Answer:
The area of the pool increasing at the rate of 653.12 when the radius is 13 cm
Step-by-step explanation:
Given:
radius of the pool increases at a rate of 8 cm/min
To Find:
How fast is the area of the pool increasing when the radius is 13 cm ?
Solution:
we are given with the circular pool
hence the area of the circular pool =
A =-----------------------------(1)
The area of the pool os increasing at the rate of 8 cm/min, meaning that the arae of the pool is changing with respect to time t
so differentiating eq (1) with respect to t , we have
we have to find with = 8 cm/min and r = 13cm
substituting the values