The surface area of a right-circular cone of radius e and height h is S – aryr² + h², and its volume is V = (a) Determine h and r for the cone with given surface area S 1 and maximal volume V. h3D (b) What is the ratio h/r for a cone with given volume V 4 and minimal surface area S? (c) Does a cone with given olume Vand maximal surface areaesse OA. yes OB. no

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 9P: A soda can is made from 40 square inches of aluminum. Let x denote the radius of the top of the can,...
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The surface area of a right-circular cone of radius r and height h is S = Trvp² + h?, and its volume is V =
(a) Determine h and r for the cone with given surface area S – 1 and maximal volume V.
T =
(b) What is the ratio h/r for a cone with given volume V
4 and minimal surface area S?
(c) Does a cone with givenolume Vand maximal surface area e
OA. yes
B. no:
Transcribed Image Text:The surface area of a right-circular cone of radius r and height h is S = Trvp² + h?, and its volume is V = (a) Determine h and r for the cone with given surface area S – 1 and maximal volume V. T = (b) What is the ratio h/r for a cone with given volume V 4 and minimal surface area S? (c) Does a cone with givenolume Vand maximal surface area e OA. yes B. no:
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