Question
In: Advanced Math
The surface area of a right-circular cone of radius r and height h is S=πrr2+h2−−−−−−√, and...
The surface area of a right-circular cone of radius r and height h is S=πrr2+h2−−−−−−√, and its volume is V=1/3πr2h.
(a) Determine h and r for the cone with given
surface area S=4 and maximal volume V.
h= , r=
(b) What is the ratio h/r for a cone with given
volume V=4 and minimal surface area S?
hr=
(c) Does a cone with given volume V and maximal
surface area exist?
A. yes
B. no
Solutions
Colby Messinger answered 1 year agoRelated Solutions
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The surface area of a sphere of radius r is S = 4πr2. Its volume is
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The volume of a right circular cylinder with base radius ? and height ℎ is given...
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The radius of a circular truncated cone varies with x as R(x) = (r/L)(8L-0.5x). Determine the...
The radius of a circular truncated cone varies with x as R(x) =
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Question #1. The lateral surface area, S, of a cone is given by: ? = ?*SQRT(?^2...
Question #1.
The lateral surface area, S, of a cone is given by: ? =
?*SQRT(?^2 + ℎ^2) , where r is the radius of the base and h is the
height. Determine the radius of a cone that has a surface area of
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iteration method. Start with rl = 15 m, ru = 16 m and
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Question #2.
Determine the fourth...
A cone has radius 4 and slant height 5. The cone is melted down and recast...
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A sphere of radius r has surface area A = 4πr2 and volume V = 4...
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Consider a uniformly charged cylinder with dimensions of radius r and height h contains a charge...
Consider a uniformly charged cylinder with dimensions of radius
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Describe each step as you go along.
Consider the total charge Q on a line of length h with the use
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Consider a uniformly charged cylinder with dimensions of radius r and height h contains a charge...
Consider a uniformly charged cylinder with dimensions of radius
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What is the magnitude and direction of the electric field at
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Describe each step as you go along.
Consider the total charge Q on a line of length h with the use
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