Re: [積分] 請教一題微積分
※ 引述《iamOrz (I am Orz)》之銘言：
: A right circular cylinder is inscribed in a sphere
: of radius 5cm. Find the largest volume of such a cylinder.
設圓柱半徑r高h
V= pi*r^2*h
h^2
= pi(25 - ----)*h
4
dV 3pi
-- = - ---- h^2 + 25pi = 0
dh 4
V'' < 0 有極大值 , h^2 = 100/3
∴ V = pi(25- 100/12) *10/√3
3
= 500√3/9 (cm)
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