Answer:
Answer is 
Step-by-step explanation:
To find the interval of x. Use our equations to equal each other.



Integrate.
![\frac{-x^3}{3}+x^2\\(\frac{-2^3}{3}+2^2)-[\frac{-0^3}{3}+0^2]\\-\frac{8}{3} +4-0\\-\frac{8}{3}+\frac{12}{3} =4/3](https://tex.z-dn.net/?f=%5Cfrac%7B-x%5E3%7D%7B3%7D%2Bx%5E2%5C%5C%28%5Cfrac%7B-2%5E3%7D%7B3%7D%2B2%5E2%29-%5B%5Cfrac%7B-0%5E3%7D%7B3%7D%2B0%5E2%5D%5C%5C-%5Cfrac%7B8%7D%7B3%7D%20%2B4-0%5C%5C-%5Cfrac%7B8%7D%7B3%7D%2B%5Cfrac%7B12%7D%7B3%7D%20%20%3D4%2F3)
Using Desmos I have Graphs of both of the equations you have provided. The problem asks us to find the shaded region between those curves/equations.
Proof Check your interval of x.
Answer:
the answer is c) 182.25
Step-by-step explanation:
The information provided gives you a scale that will ultimately allow you to determine the height of the larger cylinder.
Since it tells us the two are similar, we can use the scale to solve for the second height.
Set up your math like this:

h represents the height you are trying to find.
using a common multiple, you can solve for h.
16 times 4 is 64. so 729 divided by 4 is 182.25
Theorems are proven with geometric proof
To decrease an amount by 7% what single multiplier would you use. You want 7% less than 100%, so the answer is (100%-7%)=93% =0.93. Hope I helped!