Answered: e radius of the cylinder that produces…

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Calculus

e radius of the cylinder that produces the minimum surface area

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter10: Measurement, Area, And Volume

Section10.8: Volumes Of Pyramids And Cones

Problem 13E

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Question

A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume of the solid
is 10 cubic centimeters. Find the radius of the cylinder that produces the minimum surface area. (Round your answer to
two decimal places.)
Hint:
Area of a sphere: 4Tr2
Volume of a sphere: Tr*
4.
3
Volume of a cylinder: Ar² h
Surface area of a cylinder: 2rrh

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