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FinnZ [79.3K]
3 years ago
5

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)= 0.145r^2. What is the radius when the depth is 8 inches? Round to the nearest thousandth of an inch
Mathematics
2 answers:
Rus_ich [418]3 years ago
4 0

Answer:

7.428 inches

Step-by-step explanation:

dem82 [27]3 years ago
4 0

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.

D(r)=0.145\times r^2

8\text{ inches}=0.145\times r^2

r^2=\frac{8\text{ inches}}{0.145}

r=\sqrt{\frac{8\text{ inches}}{0.145}}

r=7.428\text{ inches}

Therefore, the radius of bowl is, 7.428 inches.

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