Q. 134.5( 4 Votes )

# Sand is pouring from a pipe at the rate of 18. The falling sand forms a cone on the ground in such a way that the height of the cone is one-sixth of the radius of the base. How fast is the height of the sand cone increasing when its height is 3 cm?

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PREVIOUSAn inverted cone has a depth of 40 cm and a base of radius 5 cm. Water is poured into it at a rate of 1.5 cubic centimetres per minute. Find the rate at which the level of water in the cone is rising when the depth is 4 cm.NEXTWater is dripping through a tiny hole at the vertex in the bottom of a conical funnel at a uniform rate of 4 . When the slant height of the water is 3 cm, find the rate of decrease of the slant height of the water, given that the vertical angle of the funnel is 120°.

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