Hello there!
We've already given the formula so I will not be adding it here.
We are also given that π = 3 for this problem.
r is defined as 'radius'
Radius is a point from center to one of endpoints.
Look at the image, the radius is given as 7cm.
From the information we gathered:
Substitute in the formula.
![\displaystyle \large{ V = \frac{4}{3} (3) {(7)}^{3} }](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7B%20V%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20%283%29%20%7B%287%29%7D%5E%7B3%7D%20%7D)
Cancel 3 out.
![\displaystyle \large{ V = 4{(7)}^{3} }](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7B%20V%20%3D%204%7B%287%29%7D%5E%7B3%7D%20%7D)
Evaluate 7^3
![\displaystyle \large{ V = 4(343) }](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7B%20V%20%3D%204%28343%29%20%7D)
Multiply
![\displaystyle \large{ V = 1372 }](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7B%20V%20%3D%201372%20%7D)
Therefore, the volume is 1372.
Let me know if you have any questions!
Topic: Surface Area and Volume - Sphere's Volume
I think that it is 0.07 meters because 100 centimeters are in a meter so i just divided
16.6 repeated
hope this helps, if not, sorry
![c^2](https://tex.z-dn.net/?f=c%5E2)
![2c^2 + 13c +21 \\4c^2 + 13(2)c + 42\\(2c + 6)(2c+7)\\(c+3)(2c+7)](https://tex.z-dn.net/?f=2c%5E2%20%2B%2013c%20%2B21%20%5C%5C4c%5E2%20%2B%2013%282%29c%20%2B%2042%5C%5C%282c%20%2B%206%29%282c%2B7%29%5C%5C%28c%2B3%29%282c%2B7%29)
This is a way to factoring trinomials (there exist different equivalent methods).
Multiply the trinomial but the term accompanying
. This is the second line. Then, you could take the square of the
, ant try to create a factor () () that will correspond to the expression in the second line. That is, we want ![4c^2 + 13(2) c + 42 = (2c + ?) (2c + ?)](https://tex.z-dn.net/?f=4c%5E2%20%2B%2013%282%29%20c%20%2B%2042%20%3D%20%282c%20%2B%20%3F%29%20%282c%20%2B%20%3F%29)
In ? we put the corresponding numbers that, if we multiply them we will obtain 42, and if we add them we will obtain 13. This numbers are 6 and 7. Then, we have ![(2c + 6) (2c +7)](https://tex.z-dn.net/?f=%282c%20%2B%206%29%20%282c%20%2B7%29)
The last step is divide by the number that we multipy in the first step.
Answer:
For the slope of the line that goes through (3, 9) and (0, 0), we have
Step-by-step explanation: