A water tank has the shape of an inverted circular cone with base radius 2 m and height 4 m . If water is being pumped into the tank, and at certain time
t_(0)!=0
, the volume of the water
V
is given by
V=(1)/(3)\pi r^(2)h,
where
r
is the radius of the surface and
h
is the height of the water at a specific time during the pumping process. it is very useful to express
h
as a runction of
h,V(h)
alone. a. Find the expression
V(h)
. (Hint Think of similar triangles)ok

Question

A water tank has the shape of an inverted circular cone with base radius 2 m and height 4 m . If water is being pumped into the tank, and at certain time

t_(0)!=0

, the volume of the water

V

is given by

V=(1)/(3)\pi r^(2)h,

where

r

is the radius of the surface and

h

is the height of the water at a specific time during the pumping process. it is very useful to express

h

as a runction of

h,V(h)

alone. a. Find the expression

V(h)

. (Hint Think of similar triangles)ok

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