10. Find the volume of the largest right cone that fits in the sphere of radium 1.11. Find the area of the largest rectangle that fits into the triangle with slides x=0, y=0,(x/4)+y/6)=112. Find the largest volume of a cylinder that fits into a cone has base radium R and height h.13. Find the dimensions of the closed cylinder volume V=16n that has the least amount ofsurface area.14. Find the dimensions of a right cone with surface area S=4 n that has the largest volume?15. A open-top box is to be made from a 24 in by 36 in piece of cardboard by removing asquare from each corner of the box and folding up the flaps on each side. What size squareshould be cut of each corner to get a box with the maximum volume?16. Find the positive integer that maximizes the sum of the numbers and its reciprocals?17. Find two positive integers such that their sum is 10 and maximize and minimize the sumof their square.

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Answered: 10. Find the volume of the largest…

Math

Advanced Math

10. Find the volume of the largest right cone that fits in the sphere of radium 1.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 67E

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Question

10. Find the volume of the largest right cone that fits in the sphere of radium 1.
11. Find the area of the largest rectangle that fits into the triangle with slides x=0, y=0,
(x/4)+y/6)=1
12. Find the largest volume of a cylinder that fits into a cone has base radium R and height h.
13. Find the dimensions of the closed cylinder volume V=16n that has the least amount of
surface area.
14. Find the dimensions of a right cone with surface area S=4 n that has the largest volume?
15. A open-top box is to be made from a 24 in by 36 in piece of cardboard by removing a
square from each corner of the box and folding up the flaps on each side. What size square
should be cut of each corner to get a box with the maximum volume?
16. Find the positive integer that maximizes the sum of the numbers and its reciprocals?
17. Find two positive integers such that their sum is 10 and maximize and minimize the sum
of their square.

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