Answer:
"A is smaller"
Step-by-step explanation:
The full question is attached.
Surface area of cylinder:
The formula is [tex]SA=2\pi r^2 + 2\pi r h[/tex]
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:
[tex]SA=2\pi r^2 + 2\pi r h\\SA=2\pi (30)^2 + 2\pi (30) (240)\\SA=50,868[/tex]
Surface Area of rectangular prism:
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"
