the right answer is first one
The height is increasing at the rate of (6/5π) ft/min.
It is given that Gravel is being dumped from a conveyor belt at a rate of 40 ft3/min. Also, its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal.
For this, we need to find the volume of a cone. Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.
The volume of a cone is - V=1/3hπr²
Learn more about integers here: brainly.com/question/20521181
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Answer:
132.233 ft2
Step-by-step explanation:
Let's call the width of the rectangle 'w' and the length 'x'. So the area of the semicircle is:
And the area of the rectangle is:
If the perimeter of the window is 41 feet, we have:
Now, the equation for the total area of the window is:
To find the maximum area, we can find the x-coordinate of the vertex of the quadratic equation:
So the width that gives us the maximum area of the window is 6.45 feet, and the area will be:
Answer:
ok
Step-by-step explanation:
5288