Question: Sand is being poured into an open right circular cone container, as shown in the figure. The height of the container is 8 cm,


Sand is being poured into an open right circular cone container, as

Sand is being poured into an open right circular cone container, as shown in the figure. The height of the container is 8 cm, and the diameter of the opening is 8 cm. Sand is being poured in so that its depth his changing at a constant rate 4 of cm/min. 10 8 cm 8 cm = 1 {rrh.) (Note: The volume of a cone of height h and radius r is given by V= Part A: Find the volume V of sand in the container when h = 4 cm. Indicate units of measure. (10 points) Part B: Find the rate of change of the volume of sand in the container, with respect to time, when h = 4 cm. Indicate units of measure. (20 points)

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