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Hey, I know this is kinda rare but I’m a Sophomore in High School taking four AP classes also (AP: Bio, Physics, Com. Sci., and World History)
It’s my first time having this work load, and it is pretty overwhelming at times.
For you, I’d say: do what benefits you the most. Always remember that time management is key. What ever you have time for is what you can do. You can talk to your counselor also. Especially, your teachers can help too. If you really do want to keep your classes, prioritize and do your best. I hope this helped a bit.
Good luck :-) Best Wishes.
Answer:
--- Radius
--- Height
Explanation:
Given
Object: Can (Cylinder)

Required
Maximize the volume
The surface area is:

Substitute 517.8 for S.A

Divide through by 2

Factorize:

Divide through by 

Make h the subject
--- (1)
Volume (V) is calculated as:

Substitute (1) for h

Open Bracket

Differentiate V

Set V' to 0

Collect Like Terms

Divide through by 3

Divide through by 



Take square root of both sides


Recall that:

Substitute 5.24 for r





Hence, the dimension that maximize the volume is:
--- Radius
--- Height