The surface area of a right-circular cone of radius r and height h is S = r√r² + h² and its volume is V = ar² h. (a) Determine the ratio for the cone with given surface area S and maximum volume V. (Use symbolic notation and fractions where needed.) h = h (b) What is the ratio for a cone with given volume V and minimum surface area S? (Use symbolic notation and fractions where needed.) A =

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The surface area of a right-circular cone of radius r and height h is S = r√r² + h² and its volume is V =
ar² h.
(a) Determine the ratio for the cone with given surface area S and maximum volume V.
(Use symbolic notation and fractions where needed.)
h
=
h
(b) What is the ratio for a cone with given volume V and minimum surface area S?
(Use symbolic notation and fractions where needed.)
A
=
Transcribed Image Text:The surface area of a right-circular cone of radius r and height h is S = r√r² + h² and its volume is V = ar² h. (a) Determine the ratio for the cone with given surface area S and maximum volume V. (Use symbolic notation and fractions where needed.) h = h (b) What is the ratio for a cone with given volume V and minimum surface area S? (Use symbolic notation and fractions where needed.) A =
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