As sand leaks out of a hole in a container, it forms a conical pile whose altitude is always the same as the diameter If the height of the pile is increasing at a rate of 6 i m m i n , find the rate at which the sand is leaking out when the altitude is 1 0 in V 1 3 r 2 h ( 1 0 ) h d h 2 2 r 2 r h 3 d h d t V 1 3 ( h 7 ) 2 h V 1 3 , h 2 4 h 1 V 1 1 2 h 3 d v d t 1 0 1 1 d v d t h 1 0 m

Question

As sand leaks out of a hole in a container, it forms a conical pile whose altitude is always the same as the diameter  If the height of the pile is increasing at a rate of 6 i m m i n , find the rate at which the sand is leaking out when the altitude is 1 0 in   V   1 3 r 2 h ( 1 0 ) h   d h 2   2 r 2 r   h 3 d h d t V   1 3 ( h 7 ) 2   h V   1 3 , h 2 4   h 1 V   1 1 2 h 3 d v d t   1 0 1 1 d v d t   h   1 0 m

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As sand leaks out of a hole in a container, it forms a conical pile whose altitude is always the same as the diameter. If

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