A parabolic listening device is shaped such that the depth of the bowl depends on its radius and can be represented by the curve D(r) = 0.145r2.What is the radius when the depth is 8 inches? Round to the nearest thousandth of an inch.4.417 inches5.252 inches7.428 inches20.505 inches

Answer:Option (C)The radius to the nearest thousandth of an inch is 7.428 inches Explanation:Given the equation is D(r) = [tex]0.145r^2[/tex]Where D is the depth and r is the radius Putting D = 8 inches in the equation 8 = [tex]0.145r^2[/tex][tex]r^2[/tex] = [tex]\frac{8}{0.145}[/tex][tex]r^2[/tex] = 55.2 r = 7.428 inches The radius of depth is 7.428 inches