A scientist would like to clear his liquid sample of sediment by pouring it through a cone shaped filter. The height of the filter is 26 cm and its base radius is 8cm. If the liquid is flowing out of the cone at a constant rate of 4 cubic cm per minute, how fast is the depth of the liquid decreasing when the level is 16cm deep? (A) 0.04 cm/ min (B) 0.06 cm/ min 0.08 cm/ min

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A scientist would like to clear his liquid sample of sediment by pouring it through a cone shaped filter. The height of the filter is 26
cm and its base radius is 8cm. If the liquid is flowing out of the cone at a constant rate of 4 cubic cm per minute, how fast is the
depth of the liquid decreasing when the level is 16cm deep?
(A) 0.04 cm/ min
B) 0.06 cm/ min
(c) 0.08 cm/ min
(D 0.02 cm/ min
Transcribed Image Text:A scientist would like to clear his liquid sample of sediment by pouring it through a cone shaped filter. The height of the filter is 26 cm and its base radius is 8cm. If the liquid is flowing out of the cone at a constant rate of 4 cubic cm per minute, how fast is the depth of the liquid decreasing when the level is 16cm deep? (A) 0.04 cm/ min B) 0.06 cm/ min (c) 0.08 cm/ min (D 0.02 cm/ min
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