find the circular cylinder of greatest volume that can be inscribed in a right circular cone with altitude 20 cm and diameter of base 10 cm.

please answer in detail .....

so at a height h, the radius is 5(1-h/20)

check that.

VolumeCone= PIr^2 H
= PI h * 25(1-h/20)^2

find dV/dh, set to zero, solve for h.

A small furniture company calculates that it can sell 100x tables if the price is set at 200-4x dollars per?
table. the cost is as follows.
C(x) = 6000 + 10000x + 4000/3x.root x . find the optimum of tables and maximum possible profit.
calculus
answer in detail
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due tomrrow
plz