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Mathematics
Problem
For a right circular cone with volume
V
=
1
3
π
r
2
h
V = \tfrac{1}{3}\pi r^{2}h
V
=
3
1
π
r
2
h
, write an expression for
d
V
d
t
\dfrac{dV}{dt}
d
t
d
V
in terms of
r
r
r
,
h
h
h
,
d
r
d
t
\dfrac{dr}{dt}
d
t
d
r
, and
d
h
d
t
\dfrac{dh}{dt}
d
t
d
h
.
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