Im a Filipino disguised as an American citizen
Given:


To find:
The rate of change in volume at 
Solution:
We know that, volume of a cone is

Differentiate with respect to t.
![\dfrac{dV}{dt}=\dfrac{1}{3}\pi\times \left[(r^2\dfrac{dh}{dt}) + h(2r\dfrac{dr}{dt})\right]](https://tex.z-dn.net/?f=%5Cdfrac%7BdV%7D%7Bdt%7D%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%5Ctimes%20%5Cleft%5B%28r%5E2%5Cdfrac%7Bdh%7D%7Bdt%7D%29%20%2B%20h%282r%5Cdfrac%7Bdr%7D%7Bdt%7D%29%5Cright%5D)
Substitute the given values.
![\dfrac{dV}{dt}=\dfrac{1}{3}\times \dfrac{22}{7}\times \left[(120)^2(-2.1) +175(2)(120)(1.4)\right]](https://tex.z-dn.net/?f=%5Cdfrac%7BdV%7D%7Bdt%7D%3D%5Cdfrac%7B1%7D%7B3%7D%5Ctimes%20%5Cdfrac%7B22%7D%7B7%7D%5Ctimes%20%5Cleft%5B%28120%29%5E2%28-2.1%29%20%2B175%282%29%28120%29%281.4%29%5Cright%5D)
![\dfrac{dV}{dt}=\dfrac{22}{21}\times \left[-30240+58800\right]](https://tex.z-dn.net/?f=%5Cdfrac%7BdV%7D%7Bdt%7D%3D%5Cdfrac%7B22%7D%7B21%7D%5Ctimes%20%5Cleft%5B-30240%2B58800%5Cright%5D)


Therefore, the volume of decreased by 29920 cubic inches per second.
Answer:
The value of the first "
" in the number
is ten times that of the second "
" in this number.
Step-by-step explanation:
What gives the number "
" its value? Of course, each of its six digits has contributed. However, their significance are not exactly the same. For example, changing the first
to
would give
and increase the value of this number by
. On the other hand, changing the second
to
would give
, which is an increase of only
compared to the original number.
The order of these two digits matter because the number "
" is written using positional notation. In this notation, the position of each digits gives the digit a unique weight. For example, in
:
.
(Note that the index starts at
from the right-hand side.)
Using these weights, the value
can be written as the sum:
.
As seen in this sum, the first "
" contributed
to the total value, while the second "
" contributed only
.
Hence: The value of the first "
" in the number
is ten times that of the second "
" in this number.
Make them have the same denominator.
1/2 + 1/3
=3/6 + 2/6
=5/6