An inverted cone has a depth of 40 cm and a base of radius 5cm .water is poured into it at a rate of 3/2 cubic centimetres per minute.find the rate at which the level of water in the cone is rising when the depth is 4 cm ..

Let V be the volume in the inverted cone

By similar triangles

⇒

Hence volume becomes

Water is getting filled in funnel at the rate 3/2 cc/sec

Hence

⇒

Rate of change of water level =

When water level is 4 cm

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