Height of the water increasing is at rate of 
<h3>How to solve?</h3>
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
<h3>Formula used: </h3>
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Answer:
i need points so i am answering
Step-by-step explanation:
I got 65/153 since you actually multiply by the reciprocal of the second fraction.
Answer:
Stephen's neighbors paid Stephen no more that $28.
Step-by-step explanation:
Given:
Stephen spent $5 of his earnings on snack.
He spent $17 in a new book.
He is left with no more than $6 left.
To describe how much Stephen's neighbors paid him.
Solution:
Let Stephen's earnings in dollars be = 
Amount left after spending on snacks in dollars = 
Amount left after spending on a new book in dollars = 
= 
The amount remaining is no more than $6.
Thus, the inequality representing the situation can be given as:
Solving for
Adding 22 both sides.
Thus, Stephen's neighbors paid Stephen no more that $28.
We can solve by figuring the area of the rectangle then add it to the area of the semicircle.
Area of the rectangle: length · width = 6 · 10 = 60 ft²
Area of the semicircle: (πd²)/8 = (3.14 · 6²)/8 = (3.14 · 36)/8 = 14.13 ft²
Total area of the figure: 60 + 14.13 = 74.13 ft² ≈ 74 ft²
