Write an equation of the line that passes through (-1,7) and is perpendicular to the line y=-1/8x -1
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The water level increases by 0.608 meters per minute when the water is 3.5 m deep
<h3>How to determine the rate?</h3>The given parameters are:
- Radius, r = 3
- Height, h = 7
- Rate in, V' = 4.3m^3/min
The relationship between the radius and height is:
r/h = 3/7
Make r the subject
r = 3h/7
The volume of a cone is;
This gives
Expand
Differentiate
Make h' the subject
When the water level is 3.5.
We have:
Also, we have:
V' = 4.3
So, the equation becomes
Evaluate the products
Evaluate the quotient
h' = 0.608
Hence, the water level increases by 0.608 meters per minute
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