Question
In: Advanced Math
Let K be a cone with a circular bottom, that has a radius r, and the...
Let K be a cone with a circular bottom, that has a radius r, and the apex is directly above the center of the bottom. Let h represent the height of the cone. Show that the surface area of the cone K without the bottom is equal to
pi * r * sqrt(r^2 + h^2) .
(Use that a sector that is given with angle θ in a circle with radius R has the area (θ * R^2)/2
Solutions
Colby Messinger answered 2 years agoRelated Solutions
A transparent cylindrical tube with radius r = 1.50 cm has a flat circular bottom and...
A transparent cylindrical tube with radius r = 1.50 cm has a
flat circular bottom and a top that is convex as seen from above,
with radius of curvature of magnitude 2.60 cm. The cylinder is
filled with quinoline, a colorless highly refractive liquid with
index of refraction n = 1.627. Near the bottom of the tube,
immersed in the liquid, is a luminescent LED display mounted on a
platform whose height may be varied. The display is the letter...
A transparent cylindrical tube with radius r = 1.50 cm has a flat circular bottom and...
A transparent cylindrical tube with radius r = 1.50 cm has a
flat circular bottom and a top that is convex as seen from above,
with radius of curvature of magnitude 2.60 cm. The cylinder is
filled with quinoline, a colorless highly refractive liquid with
index of refraction n = 1.627. Near the bottom of the tube,
immersed in the liquid, is a luminescent LED display mounted on a
platform whose height may be varied. The display is the letter...
A transparent cylindrical tube with radius r = 1.50 cm has a flat circular bottom and...
A transparent cylindrical tube with radius r = 1.50 cm has a
flat circular bottom and a top that is convex as seen from above,
with radius of curvature of magnitude 2.60 cm. The cylinder is
filled with quinoline, a colorless highly refractive liquid with
index of refraction n = 1.627. Near the bottom of the tube,
immersed in the liquid, is a luminescent LED display mounted on a
platform whose height may be varied. The display is the letter...
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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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
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(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
1.Consider a satellite of the earth in a circular orbit of radius R. Let M and...
1.Consider a satellite of the earth in a circular orbit of
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-(v^2/R)*(r/r) where v = |v| is
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governing the height h of the leaking water is
dhdt=_______________
If the tank is initially full, it will take _________ seconds to
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A metallic circular plate with radius r is fixed to a tabletop. An identical circular plate...
A metallic circular plate with radius r is fixed to a tabletop.
An identical circular plate supported from above by a cable is
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Express your answer in terms of the variables d, r, V,...
A cone has radius 4 and slant height 5. The cone is melted down and recast...
A cone has radius 4 and slant height 5. The cone is melted down
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