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The surface area of a right-circular cone of radius r and height h is S=?rr2+h2???????, and...

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Advance Math

The surface area of a right-circular cone of radius r and heighth is S=?rr2+h2???????, and its volume is V=1/3?r2h.

(a) Determine h and r for the cone with givensurface area S=4 and maximal volume V.
h=  , r=

(b) What is the ratio h/r for a cone with givenvolume V=4 and minimal surface area S?
hr=

(c) Does a cone with given volume V and maximalsurface area exist?
A. yes
B. no

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