Aparabolic listening device is shaped such that the depth of the bowl depends on its radius and can be represented by the curve d(r)= 0.145r^2. what is the radius when the depth is 8 inches? round to the nearest thousandth of an inch

Answer : The radius of bowl is, 7.428 inches.

Step-by-step explanation :

As we are given that:

Depth of the bowl = D(r) = 0.145 r²

Given:

Depth of the bowl = D = 8 inches

Now put all the given values in the above expression, we get the radius of bowl.

Therefore, the radius of bowl is, 7.428 inches.