Answer:
32cm³
Step-by-step explanation:
the volume of a cone is
V
=
π
r
2
h
3
in this case, we can relate
h
and
r
as we know that the slope =
h
r
=
10
5
=
2
we can make the volume a formula in a single variable
V
=
π
(
h
2
)
2
h
3
=
π
h
3
12
differentiating wrt time, it follows that
.
V
=
3
π
h
2
.
h
12
=
π
h
2
.
h
4
so to address the question
.
V
=
π
8
2
⋅
2
4
=
32
π
c
m
3
/ sec
