First, notice that, by the Pythagorean Theorem,
meaning that:
Also, since the volume of a cone with radius r and height h is we know that the volume of the cone is:
Therefore, we want to maximize the function subject to the constraint .
To find the critical points, we differentiate:
Therefore, when
meaning that or . Only is in the interval so that’s the only critical point we need to concern ourselves with.
Now we evaluate at the critical point and the endpoints:
Therefore, the volume of the largest cone that can be inscribed in a sphere of radius 3 is
Answer:(-6,-5)
Step-by-step explanation:
The slope is -2/3
Answer:
x=1
Step-by-step explanation:
We can solve this equation using a mix of simplifying and using arithmetic on both sides:
6-4x=7x-9x+4
6-4x=-2x+4
2-4x=-2x
2=2x
1=x
x=1
4 teammates and 5 bars.
5/4 = 1.25
1.25 = 1 and 1/4
Answer: Each person gets 1 and 1/4 of a bar