Sand is contained in a hopper that is in the shape of an inverted circular cone. Sand flows out of the vertex ata rate of 10 m3 /min. The cone has a height of 10 m and a rope diameter of 12 m. Find the rate at which the surface level of the sand is falling when the depth of the sand is 3m above the vertex. a. The surface level of the sand is falling at a rate of 125/9pi m/min b. The surface level of the sand is falling at a rate of 125/162pi m/min c. The surface level of the sand is falling at a rate of 10/9pi m/min d. The surface level of the sand is falling at a rate of 259/81pi m/min

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Sand is contained in a hopper that is in the shape of an inverted circular cone. Sand flows out of the vertex ata rate of 10 m/min. The cone has a height of 10 m and a rope diameter of 12 m. Find the rate at which the surface level of the sand is falling when the depth of the sand is 3m above the vertex.

a. The surface level of the sand is falling at a rate of 125/9pi m/min

b. The surface level of the sand is falling at a rate of 125/162pi m/min

c. The surface level of the sand is falling at a rate of 10/9pi m/min

d. The surface level of the sand is falling at a rate of 259/81pi m/min

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