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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