Which is the graph of f(x)=sqrt x?
1 answer:
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Answer:
The volume is decreasing at a rate 20π cubic meter per hour.
Step-by-step explanation:
We are given the following in the question:
The radius is increasing at a rate 1 meter per hour.
The height is decreasing at a rate 4 meter per hour
At an instant time t,
r = 5 meter
h = 8 meters
Volume of cylinder =
where r is the radius and h is the height of the cylinder.
Rate of change of volume is given by:
Putting all the values we get,
Thus, the volume is decreasing at a rate 20π cubic meter per hour or 62.8 cubic meter per hour.
Using a calculator, 1200/180 = 6.67 approximately
If you use long division, then you'll get what you see in the diagram below
The 6's go on forever after the decimal point, but if you round to two decimal places, then you'll get that approximate value of 6.67
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If you want a remainder, then 1200/180 = 6 remainder 120
You can think of it like you having 1200 cookies and 180 friends. Each friend will get 6 whole cookies and there will be 120 left over as the remainder.
