Answer:
Answer in terms of π=144π m^3
Answer by replacing π with 3.14 is 452.16 approximately 452.2m^3
Answer to the nearest whole no. is 452m^3
Step-by-step explanation:
![volume \: of \: a \: cone = \frac{1}{3} \pi {r}^{2} h](https://tex.z-dn.net/?f=volume%20%5C%3A%20of%20%5C%3A%20a%20%5C%3A%20cone%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20%7Br%7D%5E%7B2%7D%20h)
![radius = \frac{diametre}{2}](https://tex.z-dn.net/?f=radius%20%3D%20%20%5Cfrac%7Bdiametre%7D%7B2%7D%20)
![radius = 24](https://tex.z-dn.net/?f=radius%20%3D%2024)
![height = 18](https://tex.z-dn.net/?f=height%20%3D%2018)
![slant \: height \: = 30](https://tex.z-dn.net/?f=slant%20%5C%3A%20height%20%5C%3A%20%20%3D%2030)
![first \: step](https://tex.z-dn.net/?f=first%20%5C%3A%20step)
![the \: exact \: volume \: of \: the \: cone \: in \: terms \: of \: \pi](https://tex.z-dn.net/?f=the%20%5C%3A%20exact%20%5C%3A%20volume%20%5C%3A%20of%20%5C%3A%20the%20%5C%3A%20cone%20%5C%3A%20in%20%5C%3A%20terms%20%5C%3A%20of%20%5C%3A%20%5Cpi)
![v = \frac{1}{3} \pi {r}^{2} h](https://tex.z-dn.net/?f=v%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20%7Br%7D%5E%7B2%7D%20h)
![\: \: = \frac{1}{3} \times \pi \times 24 \times 18](https://tex.z-dn.net/?f=%20%5C%3A%20%20%5C%3A%20%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20%20%5Ctimes%20%5Cpi%20%5Ctimes%2024%20%5Ctimes%2018)
![\: \: \: = \frac{432\pi}{3}](https://tex.z-dn.net/?f=%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%3D%20%20%5Cfrac%7B432%5Cpi%7D%7B3%7D%20)
![\: \: \: = 144\pi](https://tex.z-dn.net/?f=%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%3D%20144%5Cpi)
![second \: step](https://tex.z-dn.net/?f=second%20%5C%3A%20step)
![approximate \: answer \: using \: 3.14 \: in \: place \: of \: \pi](https://tex.z-dn.net/?f=approximate%20%5C%3A%20answer%20%5C%3A%20using%20%5C%3A%203.14%20%5C%3A%20in%20%5C%3A%20place%20%5C%3A%20of%20%5C%3A%20%5Cpi)
![144 \times 3.14](https://tex.z-dn.net/?f=144%20%5Ctimes%203.14)
![= 452.16](https://tex.z-dn.net/?f=%20%3D%20452.16)
![approximately \: 452.2](https://tex.z-dn.net/?f=approximately%20%5C%3A%20452.2)
![last \: step](https://tex.z-dn.net/?f=last%20%5C%3A%20step)
![answer \: to \: the \: nearest \: whole \: number](https://tex.z-dn.net/?f=answer%20%5C%3A%20to%20%5C%3A%20the%20%5C%3A%20nearest%20%5C%3A%20whole%20%5C%3A%20number)
![452 {m}^{3}](https://tex.z-dn.net/?f=452%20%7Bm%7D%5E%7B3%7D%20)
Answer:
100 Times per second
Step-by-step explanation:
Divide it by 10
1000
100***
10
1
100 is the answer easy!!!
Answer:
![a_n=3n-12](https://tex.z-dn.net/?f=a_n%3D3n-12)
Step-by-step explanation:
We are given the recursive formula:
![a_n=a_{n-1}-4, a_1=15](https://tex.z-dn.net/?f=a_n%3Da_%7Bn-1%7D-4%2C%20a_1%3D15)
This is the recursive formula for an arithmetic sequence.
The explicit formula for an arithmetic sequence is given by:
![a_n=a_1 + d({n-1} )](https://tex.z-dn.net/?f=a_n%3Da_1%20%2B%20d%28%7Bn-1%7D%20%29)
Where d=3 is the common difference.
We plug in this values to get:
![a_n=15 + 3({n-1} )](https://tex.z-dn.net/?f=a_n%3D15%20%2B%203%28%7Bn-1%7D%20%29)
We now expand and simplify to get:
![a_n=15 + 3n-3](https://tex.z-dn.net/?f=a_n%3D15%20%2B%203n-3)
We simplify to obtain:
![a_n= 3n-12](https://tex.z-dn.net/?f=a_n%3D%203n-12)
For a function of
, the average rate of change can be found as follows:
![ARC=\frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=%20ARC%3D%5Cfrac%7Bf%28x_%7B2%7D%29-f%28x_%7B1%7D%29%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%20)
So, we only need two points to compute this value. So, in this problem we have a table with several points, but the problem establishes that the ARC we need to find is the one between two points, that is, when x=3 and x=4. In this problem,
is the function, so:
![ARC=\frac{g(x_{2})-g(x_{1})}{x_{2}-x_{1}}\\ \\ ARC=\frac{9-8}{4-3} \\ \\ \therefore \boxed{ARC=1}](https://tex.z-dn.net/?f=ARC%3D%5Cfrac%7Bg%28x_%7B2%7D%29-g%28x_%7B1%7D%29%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%5C%5C%20%5C%5C%20ARC%3D%5Cfrac%7B9-8%7D%7B4-3%7D%20%5C%5C%20%5C%5C%20%5Ctherefore%20%5Cboxed%7BARC%3D1%7D)