2 answers:
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Answer: Choice B)
We have some value m and we're squaring it to get
To undo this and isolate m, we apply the square root to both sides
There are two solutions here. This is similar to how there are two solutions in something like (those two solutions being x = 5 and x = -5). Squaring any negative number leads to a positive result because
negative times negative = positive.
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.