Answer:
"A is smaller"
Step-by-step explanation:
The full question is attached.
<u>Surface area of cylinder:</u>
The formula is ![SA=2\pi r^2 + 2\pi r h](https://tex.z-dn.net/?f=SA%3D2%5Cpi%20r%5E2%20%2B%202%5Cpi%20r%20h)
where r is the radius and h is the height
Here, radius would be 30 since balls have diameter 60 and radius is half of that.
Also height is the diameter of 4 balls line-by-line, so height is 60*4 = 240
Now, plugging into the formula, we get:
![SA=2\pi r^2 + 2\pi r h\\SA=2\pi (30)^2 + 2\pi (30) (240)\\SA=50,868](https://tex.z-dn.net/?f=SA%3D2%5Cpi%20r%5E2%20%2B%202%5Cpi%20r%20h%5C%5CSA%3D2%5Cpi%20%2830%29%5E2%20%2B%202%5Cpi%20%2830%29%20%28240%29%5C%5CSA%3D50%2C868)
<u>Surface Area of rectangular prism:</u>
The surface area of rectangular prism is the area of all the rectangular surfaces (6 of them).
Area of top and bottom = (60+60)*(60+60) * 2 = 120*120 * 2 = 28,800
Area of 2 sides = 2 * (60*120) = 14,400
Area of front and back = 2 * (60*120) = 14,400
Total Surface Area = 28,800 + 14,400 + 14,400 = 57,600
Thus, cylinder has smaller surface area.
"A is smaller"