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A Right Conical Circular Vessel Is Being Filled with Green 100π100 \pi

Question 22

Multiple Choice

A right conical circular vessel is being filled with green industrial waste at a rate of 200 cubic meters per second. How fast is the level rising after 100π100 \pi cubic meters have been poured in (The cone has height 75 m and radius 45 m at its brim. The volume of a cone of height h and cross-sectional radius r at its brim is given by V=13πr2hV = \frac { 1 } { 3 } \pi r ^ { 2 } h .) Round your answer to the one decimal place.


A) 1.2ms1.2 \frac { \mathrm { m } } { \mathrm { s } }
B) 6.0ms6.0 \frac { \mathrm { m } } { \mathrm { s } }
C) 0.4ms0.4 \frac { \mathrm { m } } { \mathrm { s } }
D) 6.3ms6.3 \frac { \mathrm { m } } { \mathrm { s } }
E) 2.0ms2.0 \frac { \mathrm { m } } { \mathrm { s } }

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