Hello,
Your answer would be:
2=2
Your explanation/work would be:
7(2) - 12 = 8(2) - 14
14 - 12 = 16 - 14
2 = 2
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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
Read more about volumes at:
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If you round 100.360 to the nearest whole number it'll be (100) if you see "100.500" i'll be 101 due to the decimals
Square root of 289 = 17 ft
so this rug would not fit the room because one side is 16 ft long.