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 hope this helps you
parallelogram area= base×height
288=base×12
base=24
Answer:
Triangle.
Step-by-step explanation:
If you are picking marbles/cards from a bag/deck without replacing them, these would be dependent events because one pick would affect the probability of getting the other components in the bag/deck. If you pick a marble from a bag and then put that marble back in the bag, then it would be an independent because the probabilities are staying consistent.
So, the second and fourth options would be independent events.
Answer:
x = - 7.5
y = 11.1
Step-by-step explanation:
3x + 5y = 27
- 7x - 5y = 3
add the two equations
- 4x = 30
divide by - 4
x = - 7.5
plug x into an equation to find y
- 7 ( - 7.5 ) - 5y = 3
52.5 - 5y = 3
subtract 52.5
- 5y = - 55.5
divide by - 5
y = 11.1
hopefully this helps you out