Answer:
14 cm
Step-by-step explanation:
Given:
A mug can hold 13.46 oz of coffee.
The radius of the mug is 3 cm.
Given that 1
equals 0.034 oz.
Question asked:
What is the height of the mug to the nearest centimeter ?
Solution:
Given that 1
equals 0.034 oz.
By unitary method:
0.034 oz = 1 ![cm^{3}](https://tex.z-dn.net/?f=cm%5E%7B3%7D)
1 oz = ![\frac{1}{0.034}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B0.034%7D)
13.46 oz =
A mug can hold 13.46 oz of coffee means volume of cylinder is given which is 395.88
. Now we can find the height of the mug by using volume of cylinder formula:
volume of cylinder = ![\pi r^{2} h](https://tex.z-dn.net/?f=%5Cpi%20r%5E%7B2%7D%20h)
![395.88=\frac{22}{7} \times3\times3\times \ h\\395.88=\frac{198 \ h}{7}](https://tex.z-dn.net/?f=395.88%3D%5Cfrac%7B22%7D%7B7%7D%20%5Ctimes3%5Ctimes3%5Ctimes%20%5C%20h%5C%5C395.88%3D%5Cfrac%7B198%20%5C%20h%7D%7B7%7D)
By cross multiplication:
![395.88\times 7 =198\ h\\2771.16= 198\ h](https://tex.z-dn.net/?f=395.88%5Ctimes%207%20%3D198%5C%20h%5C%5C2771.16%3D%20198%5C%20h)
By dividing both side by 198
![cm](https://tex.z-dn.net/?f=cm)
Therefore, height of the mug to the nearest centimeter is 14 cm.
You can factor out a 5n to get
5n(4m-3)
Answer:
It's point W!!!
Step-by-step explanation:
Have a great day :)
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