Pre Calculus - The Snow Cone Problem
NAME__ ~~~
_
find the dimensions of the minimumsurface area cone that can hold I 200 cm 3 snowcone
SPHERE FACTS
V
=
(4/3)Tfr
3
-------
CONE FACTS
h
V = (1/3)
STEPS:
I) Find surface area (S) of the cone as a function of r
hint: make an equation uSing 1200 cm3
2) Graph S(r) and find the minimum
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NAME
--------------------
NAME
--------------------
Pre Calculus - The Snow Cone Problem
find the dimenSions of the maximum volume snow cone that can be made from a
paper snow cone with surface area 34G cm 2
SPHERE FACTS
3
V = (4/3)Tfr
-------
CONE FACTS
V=(1/3)Tfr2h
h
STEPS:
I)
Find volume (V) of the Ice In the snow cone as a function
hint: make an equation
uSing 34Gcm
2)
Graph V(r) and find the maximum
3)
Find the dimensions
r
S-. (0
and resulting
2
volume
of r
and make a substitution
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