Answer:
The water is being pumped at a speed of
Step-by-step explanation:
By congruence of triangles, the radius r of the cone base when its height is 200 cm satisfies the relation
r/200 = 400/600
<h3>(See picture attached)
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So, r = 400/3 cm when the water is 200 cm high.
The volume of a cone with radius of the base = R is given by
So, the volume of water when it is 200 cm high is
One minute later, the height of the water is 200 cm + 20 cm = 220 cm
The radius now satisfies
r/220 = 400/600
and now the radius of the base is
r = 440/3
and the new volume of water is
So, the water is raising (being pumped) at a rate (speed) of