Sophia walked 6 miles in 90 min at Bear Creek Park in Euless, Texas. If she continues at this rate how many miles could walk in
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Height of the water increasing is at rate of
With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:
There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:
Since the rate in this problem is time related, we need to implicitly differentiate wrt (with respect to) time:
In the problem, we are given
So we need to substitute this in:
Hence, Height of the water increasing is at rate of
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Full Question: Below is the diagram of the base of gazebo. Hunter is building for his backyard. He plans on gazebo having a height of 4 meters with a pyramid shaped roof that is an additional 2 meters high. He needs to order shingles for the roof and needs to know how much area is covered by shingles.
Answer: