Answer Q=-11
Explanation is in picture below
Cone details:
Sphere details:
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From the endpoints (EO, UO) of the circle to the center of the circle (O), the radius is will be always the same.
<u>Using Pythagoras Theorem</u>
(a)
TO² + TU² = OU²
(h-10)² + r² = 10² [insert values]
r² = 10² - (h-10)² [change sides]
r² = 100 - (h² -20h + 100) [expand]
r² = 100 - h² + 20h -100 [simplify]
r² = 20h - h² [shown]
r = √20h - h² ["r" in terms of "h"]
(b)
volume of cone = 1/3 * π * r² * h
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To find maximum/minimum, we have to find first derivative.
(c)
<u>First derivative</u>

<u>apply chain rule</u>

<u>Equate the first derivative to zero, that is V'(x) = 0</u>




<u />
<u>maximum volume:</u> <u>when h = 40/3</u>


<u>minimum volume:</u> <u>when h = 0</u>


Answer:

Step-by-step explanation:

<u>Add 2 to both sides:</u>


<u>Divide both sides by -1:</u>


<u>Add 2 to both sides:</u>


<u>Divide both sides by -5:</u>


___________________________
<u>OAmalOHopeO</u>
Answer:
-8g+24h-32k
Step-by-step explanation:
i think (please don't hate me)
Answer:
x = 14
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Multiply -2 to both sides of the equation:
-2 * (-1/2x) = -2 * -7
x = -2 * -7
x = 14
Note that when you multiply two negative numbers, the answer will be positive.
14 is your answer for x.
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