What is the rest of the expression?
        
             
        
        
        
Im 99.99999% it is the top left
        
                    
             
        
        
        
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 />
<u>maximum volume:</u>                <u>when h = 40/3</u>


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


 
        
                    
             
        
        
        
Answer:
The ratio is 3:8
Step-by-step explanation:
The circumference of a circle can be calculated using the formula;
C = 2 * pi * r
for 9 inches;
C = 2 * pi * 9 = 18 pi inches 
For 24 inches;
C = 2 * pi * 24 = 24 pi inches 
The ratio is thus;
18 pi : 48 pi
divide through by 6 pi 
= 3: 8