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>



notice, it goes 4,6 then 4, 6 again, and so on and so on
based on whatever exponent it may have
now, you're being asked, what 214 will give? 4 or 6?
ANSWER
x=27
EXPLANATION
The two triangles are similar so the corresponding sides are equal.


Cross multiply to get;

Expand:
65x=39x+702
Group similar terms:
65x-39x=702
Simplify
26x=102
Divide both sides by 26,
x=702/26
x=27
Answer:
11(7 + 4) = 11 × 7 + 11 × 4
Step-by-step explanation:
11(7 + 4) = _ x 7 + 11 x _
use distributive property:
11(7 + 4) = 7 x 11 + 7 x 11
What were you watching there on the tv? My little pony? Adventure time?