Given:
volume of larger cone : 8000 m³
radius of larger cone: 5 m
radius of smaller cone: 2 m
volume of smaller cone: ?
Find the volume of the smaller cone using the ratio of the volumes.
a / b = c / d where ad = bc
5m / 8000 m³ = 2 m / x
5m * x = 8000 m³ * 2m
5m * x = 16000 m⁴
x = 16000 m⁴ / 5m
x = 3200 m³
Answer:
Table C
Step-by-step explanation:
Given
Table A to D
Required
Which shows a proportional relationship
To do this, we make use of:
![k = \frac{y}{x}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7By%7D%7Bx%7D)
Where k is the constant of proportionality.
In table (A)
x = 2, y = 4
![k = \frac{y}{x}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7By%7D%7Bx%7D)
![k = \frac{4}{2}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B4%7D%7B2%7D)
![k = 2](https://tex.z-dn.net/?f=k%20%3D%202)
x = 4, y = 9
![k = \frac{y}{x}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7By%7D%7Bx%7D)
![k = \frac{9}{4}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B9%7D%7B4%7D)
![k = 2.25](https://tex.z-dn.net/?f=k%20%3D%202.25)
Both values of k are different. Hence, no proportional relationship
In table (B)
x = 3, y = 4
![k = \frac{y}{x}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7By%7D%7Bx%7D)
![k = \frac{4}{3}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B4%7D%7B3%7D)
![k = 1.33](https://tex.z-dn.net/?f=k%20%3D%201.33)
x = 9, y = 16
![k = \frac{y}{x}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7By%7D%7Bx%7D)
![k = \frac{16}{9}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B16%7D%7B9%7D)
![k = 1.78](https://tex.z-dn.net/?f=k%20%3D%201.78)
Both values of k are different. Hence, no proportional relationship
In table (C):
x = 4, y = 12
![k = \frac{y}{x}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7By%7D%7Bx%7D)
![k = \frac{12}{4}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B12%7D%7B4%7D)
![k = 3](https://tex.z-dn.net/?f=k%20%3D%203)
x = 5, y = 15
![k = \frac{y}{x}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7By%7D%7Bx%7D)
![k = \frac{15}{5}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B15%7D%7B5%7D)
![k = 3](https://tex.z-dn.net/?f=k%20%3D%203)
x = 6, y = 18
![k = \frac{y}{x}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7By%7D%7Bx%7D)
![k = \frac{18}{6}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B18%7D%7B6%7D)
![k = 3](https://tex.z-dn.net/?f=k%20%3D%203)
This shows a proportional relationship because all values of k are the same for this table
That’s easy There you go wait why isn’t it letting me put it
583.607
It is 500.000, 5 is in the position of hundred thousands. (500000)
362.501,
It is 300.500, 5 is in the position of the hundreds (500)
So 5000000/500 = 1000
Answer: 1000 times