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The Volume (V) of a certain cone is 300 cubic meters (m^3). Sally uses this fact to express the height (h) of the cone in

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The Volume (V) of a certain cone is 300 cubic meters (m^3). Sally uses this fact to express the height (h) of the cone in terms of the radius (r) of the cone. She then writes a formula for the Surface Area (SA) in terms of the radius (r). Finally, Sally graphs the Surface Area with respect to the radius, as shown below. Which of the multiple-choice options is a TRUE statement? V= $Trzh S.A. = Tir . ( + 2 + hz) hi 300 m ? = + Tir=h S. A. = T.r. r2 + (900 ) 2 7 h= 900 Trz S.A.= ( 12. 16+ 810, 000) r 1000 y f1 (x)=- VI. x +810000 X 100 OVX -3 -200 The smallest possible Surface Area of the cone is SA = 5.87 square meters (m^2). The Surface Area is maximized when the radius of the cone is r = 5.87 meters. O The Surface Area is minimized when the height of the cone is h = 5.87 meters. The Surface Area is minimized when the radius of the cone is r = 5.87 meters

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