Question 1
Find the largest possible volume of a right circular cylinder that is inscribed in a sphere of radius r.
◦

πr
3 cubic units
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πr
3 cubic units
◦

πr
3 cubic units
◦

πr
3 cubic units
◦

πr
3 cubic units
Question 2
There are 50 apple trees in an orchard. Each tree produces 800 apples. For each additional tree planted in the orchard, the output per tree drops by 10 apples. How many trees should be added to the existing orchard to maximize the total output of trees?
◦ 25 additional trees
◦ 10 additional trees
◦ 20 additional trees
◦ 15 additional trees
◦ 5 additional trees