Answer:
9 pitchers
Step-by-step explanation:
Given
Cylinder 1:
![Radius = r](https://tex.z-dn.net/?f=Radius%20%3D%20r)
![Height = 9](https://tex.z-dn.net/?f=Height%20%3D%209)
Cylinder 2:
![Radius = 3r](https://tex.z-dn.net/?f=Radius%20%3D%203r)
![Height = 9](https://tex.z-dn.net/?f=Height%20%3D%209)
Required
How many pitchers' cylinder 2 can fill
First, we calculate the volume of both cylinders
Volume is calculated as:
![Volume = \pi r^2h](https://tex.z-dn.net/?f=Volume%20%3D%20%5Cpi%20r%5E2h)
For A:
![V_A = \pi r^2*9](https://tex.z-dn.net/?f=V_A%20%3D%20%5Cpi%20r%5E2%2A9)
![V_A = 9\pi r^2](https://tex.z-dn.net/?f=V_A%20%3D%209%5Cpi%20r%5E2)
For B:
![V_B = \pi (3r)^2 * 9](https://tex.z-dn.net/?f=V_B%20%3D%20%5Cpi%20%283r%29%5E2%20%2A%209)
![V_B = \pi *9r^2 * 9](https://tex.z-dn.net/?f=V_B%20%3D%20%5Cpi%20%2A9r%5E2%20%2A%209)
![V_B = 9* 9\pi r^2](https://tex.z-dn.net/?f=V_B%20%3D%209%2A%209%5Cpi%20r%5E2)
In (a): ![V_A = 9\pi r^2](https://tex.z-dn.net/?f=V_A%20%3D%209%5Cpi%20r%5E2)
So, we have ve:
![V_B = 9*V_A](https://tex.z-dn.net/?f=V_B%20%3D%209%2AV_A)
![V_B = 9V_A](https://tex.z-dn.net/?f=V_B%20%3D%209V_A)
<em>If the first cylinder can fill 1, then the second can fill 9 pitchers</em>
Answer:
179/180
Step-by-step explanation:
<em><u>Step One</u></em>
Find the prime factors of 18 and 20
18:3*3*2
20: 2 * 2 * 5
<em><u>Step Two</u></em>
You need two 2s two 3s and one 5 for the common denominator
The common denominator is 2 * 2 * 3 * 3 * 5 = 180
<em><u>Step Three</u></em>
Put the two fractions over 180
![\dfrac{17*10}{10*18} + \dfrac{1*9}{10*18}](https://tex.z-dn.net/?f=%5Cdfrac%7B17%2A10%7D%7B10%2A18%7D%20%2B%20%5Cdfrac%7B1%2A9%7D%7B10%2A18%7D)
![\dfrac{170}{180} + \dfrac{9}{180}](https://tex.z-dn.net/?f=%5Cdfrac%7B170%7D%7B180%7D%20%2B%20%5Cdfrac%7B9%7D%7B180%7D)
179/180
Answer:
4z + 5
Step-by-step explanation:
16 and 20 are both dividable by 4, so you divide them both by four and then you have your answer
Answer:
![\frac{4b^5}{c^3}](https://tex.z-dn.net/?f=%5Cfrac%7B4b%5E5%7D%7Bc%5E3%7D)
Step-by-step explanation:
![\frac{36b^4c^2}{9b^{-1}c^5}](https://tex.z-dn.net/?f=%5Cfrac%7B36b%5E4c%5E2%7D%7B9b%5E%7B-1%7Dc%5E5%7D)
![\frac{36b^4c^2}{9b^{-1}c^5}\\\\\frac{4b^{4+1}}{c^{5-2}}\\\\\frac{4b^5}{c^3}](https://tex.z-dn.net/?f=%5Cfrac%7B36b%5E4c%5E2%7D%7B9b%5E%7B-1%7Dc%5E5%7D%5C%5C%5C%5C%5Cfrac%7B4b%5E%7B4%2B1%7D%7D%7Bc%5E%7B5-2%7D%7D%5C%5C%5C%5C%5Cfrac%7B4b%5E5%7D%7Bc%5E3%7D)
Hope this helps!