Water is dripping out from a conical funnel at a uniform rate of 2 cm3/s through a tiny hole at the vertex in the bottom. When the slant height of the water is 4 cm, find the rate of decrease of the slant height of the water-cone, given that the vertical angle of the funnel is 120

Question

anonymous · Answer

@hartnn  @experimentX

bahrom7893 · Answer

Figure out the formula for the slant height of a cone. Then differentiate it with respect to t, plug in all the given information and you'll have your answer.

bahrom7893 · Answer

Maybe experimentX can elaborate, but I'm really busy at the moment.

anonymous · Answer

Radius remains Constant ryt?

bahrom7893 · Answer

No radius changes as well since it's a cone.

anonymous · Answer

V = pie*r^2*h/3

2r = h

r = h/2

V = pie*h^3/12

dV/dt = pie /12 * 3 h^2 dh/dt

anonymous · Answer

dl/dt = 5/pie...am i correct?

bahrom7893 · Answer

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