7 1/5th is the anwser but thats easy your just being lazy i think
The answer is y is greater y > -8
IGH because the angles line up
Cone details:
Sphere details:
================
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
===========================




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:
x = 5/3
Step-by-step explanation:
You ALWAYS want your term to be by itself!! So what you need to do is move your constant away from it.
Step 1: Adjust as needed, subtract 10 from both sides of your equation. It should end up like this.
-3x = 5 - 10
Step 2: Solve as needed before continuing equation.
-3x = -5
Step 3: Now you need to get your term by itself. You should divide -3 on both sides of your equation so you should get something like this.
x = -5 / -3
Step 4: You're basically done now! Just simplify! NEGATIVES CROSS EACH OTHER OUT!!!
x = 5/3 OR 1.6
<em>KEY:</em>
<em>Negative and Negative = Positive</em>
<em>Negative and Positive = Negative</em>
<em>Positive and Positive = Positive</em>