Wednesday, December 2, 2015

help on equations of a wine glassi have an assignment to do the wine glass for maths and i dont know any equation. it has a table with colums...

The simplest wine glass structure to use would have a
cylindrical base, a cylindrical stem, and a half-sphere
body. 


Give the following dimensions of the wine
glass:


radius of base, height of base, radius of stem,
height of stem, and radius of body


Provide the following
equations for surface area:


SA of cylindrical base = 2 * pi
* r^2 + 2 * pi * r * h


SA of cylindrical stem = 2 * pi *
r^2 + 2 * pi * r * h


SA of half-sphere body = (4 * pi *
r^2) / 2


To find the total surface area of the wine glass,
add the three answers above.


Next, provide the following
equations for volume:


V of cylindrical base = pi * r^2 *
h


V of cylindrical stem = pi * r^2 *
h


V of half-sphere body = (4/3 * pi * r^3) /
2


To find the total volume of the wine glass, add the three
answers above.


So here is how I would phrase the
question.


A wine glass has a cylindrical base, a
cylindrical stem, and a half-sphere body.  The base has a height of __ mm and a radius
of __ mm.  The stem has a height of __ mm and a radius of __.  The body has a radius of
__ mm.  Use this information to find the total surface area and the total volume of the
wine glass.

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