Answer:
![r=\dfrac{2}{3}\ yards](https://tex.z-dn.net/?f=r%3D%5Cdfrac%7B2%7D%7B3%7D%5C%20yards)
Step-by-step explanation:
Given that,
The volume of a sphere is,
cubic yards
We need to find the radius of the sphere. The formula for the volume of a sphere is given by :
![V=\dfrac{4}{3}\pi r^2](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B4%7D%7B3%7D%5Cpi%20r%5E2)
Put all the values,
![\dfrac{32}{81}\pi=\dfrac{4}{3}\pi r^3\\\\r^3=\dfrac{8}{27}\\\\r=\dfrac{2}{3}\ yards](https://tex.z-dn.net/?f=%5Cdfrac%7B32%7D%7B81%7D%5Cpi%3D%5Cdfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3%5C%5C%5C%5Cr%5E3%3D%5Cdfrac%7B8%7D%7B27%7D%5C%5C%5C%5Cr%3D%5Cdfrac%7B2%7D%7B3%7D%5C%20yards)
So, the radius of the sphere is equal to
.
The answer is 3! I hope this helps. I used a calculator to get the answer.
Answer:
![Day\ 3 = 1\frac{3}{12}](https://tex.z-dn.net/?f=Day%5C%203%20%3D%201%5Cfrac%7B3%7D%7B12%7D)
Step-by-step explanation:
Given
![Total = 2ft](https://tex.z-dn.net/?f=Total%20%3D%202ft)
![Day\ 1 = \frac{1}{6}](https://tex.z-dn.net/?f=Day%5C%201%20%3D%20%5Cfrac%7B1%7D%7B6%7D)
![Day\ 2 = \frac{7}{12}](https://tex.z-dn.net/?f=Day%5C%202%20%3D%20%5Cfrac%7B7%7D%7B12%7D)
Required
Determine the amount of snow on day 3
This can be calculated using:
![Day\ 1 + Day\ 2 + Day\ 3 = Total](https://tex.z-dn.net/?f=Day%5C%201%20%2B%20Day%5C%202%20%2B%20Day%5C%203%20%3D%20Total)
Substitute values for the known parameters
![\frac{1}{6} + \frac{7}{12} + Day\ 3 = 2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7D%20%2B%20%5Cfrac%7B7%7D%7B12%7D%20%2B%20Day%5C%203%20%3D%202)
Collect Like Terms
![Day\ 3 = 2 - \frac{1}{6} - \frac{7}{12}](https://tex.z-dn.net/?f=Day%5C%203%20%3D%202%20-%20%5Cfrac%7B1%7D%7B6%7D%20-%20%5Cfrac%7B7%7D%7B12%7D)
Take LCM
![Day\ 3 = \frac{24 - 2 - 7}{12}](https://tex.z-dn.net/?f=Day%5C%203%20%3D%20%5Cfrac%7B24%20-%202%20-%207%7D%7B12%7D)
![Day\ 3 = \frac{15}{12}](https://tex.z-dn.net/?f=Day%5C%203%20%3D%20%5Cfrac%7B15%7D%7B12%7D)
Express as mixed number
![Day\ 3 = 1\frac{3}{12}](https://tex.z-dn.net/?f=Day%5C%203%20%3D%201%5Cfrac%7B3%7D%7B12%7D)
Answer: look at the picture
Step-by-step explanation: hope this help
If mr Gurney purchased 5 dozen eggs it would be 9.55