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Water is dripping out from a conical fun...

Water is dripping out from a conical funnel at a uniform rate of `4c m^3//c m` through a tiny hole at the vertex in the bottom. When the slant height of the water is 3cm, find the rate of decrease of the slant height of the water-cone. Given that the vertical angle of the funnel is `120^0dot`

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To solve the problem step by step, we will first understand the relationship between the volume of the cone, the dimensions of the cone, and how they change over time. ### Step 1: Understand the Geometry of the Cone Given that the vertical angle of the funnel is \(120^\circ\), the angle at the vertex of the cone is \(60^\circ\) (since the angle is split in half). Let: - \(l\) = slant height of the cone - \(h\) = height of the cone ...
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