24 : 12.5/100 = 24 * 100/12.5 = 192;
First mug holds the most
<em><u>Solution:</u></em>
Given that,
You are choosing between two mugs
<em><u>The volume of cylinder is given as:</u></em>
![V = \pi r^2h](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20r%5E2h)
Where,
r is the radius and h is the height
<em><u>One has a base that is 5.5 inches in diameter and a height of 3 inches</u></em>
![radius = \frac{diameter}{2}](https://tex.z-dn.net/?f=radius%20%3D%20%5Cfrac%7Bdiameter%7D%7B2%7D)
Therefore,
![r = \frac{5.5}{2}\\\\r = 2.75](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B5.5%7D%7B2%7D%5C%5C%5C%5Cr%20%3D%202.75)
Also, h = 3 inches
<em><u>Thus volume of cylinder is given as:</u></em>
![V = \pi \times 2.75^2 \times 3\\\\V = 3.14 \times 22.6875\\\\V = 71.23875 \approx 71.24](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20%5Ctimes%202.75%5E2%20%5Ctimes%203%5C%5C%5C%5CV%20%3D%203.14%20%5Ctimes%2022.6875%5C%5C%5C%5CV%20%3D%2071.23875%20%5Capprox%2071.24)
Thus first mug holds 71.24 cubic inches
<em><u>The other has a base of 4.5 inches in diameter and a height of 4 inches</u></em>
![Radius = \frac{4.5}{2}\\\\r = 2.25](https://tex.z-dn.net/?f=Radius%20%3D%20%5Cfrac%7B4.5%7D%7B2%7D%5C%5C%5C%5Cr%20%3D%202.25)
h = 4 inches
Therefore,
![V = 3.14 \times 2.25^2 \times 4\\\\V = 3.14 \times 20.25\\\\V = 63.585](https://tex.z-dn.net/?f=V%20%3D%203.14%20%5Ctimes%202.25%5E2%20%5Ctimes%204%5C%5C%5C%5CV%20%3D%203.14%20%5Ctimes%2020.25%5C%5C%5C%5CV%20%3D%2063.585)
Thus the second mug holds 63.585 cubic inches
On comparing, volume of both mugs,
Volume of first mug > volume of second mug
First mug holds the most
Answer:
I think its 21 but iam not sure about the rest
Answer: i don't see the problem
Step-by-step explanation: