80 pie square inches of material of negligible thickness are required to construct a 1/16 scale model of a cylindrical barrel. If the diameter of the base of the barrel is 160 inches, then what is the volume of the barrel, to the nearest cubic foot?
Choose the correct choice from the following answers
A) 2pie
B) 11pie
C) 178 pie
D) 711 pie
E) 1280 pie
radius of barrel, R=80   radius of model, r=80/16= 
<gadget id="calculator">80/16</gadget>
<output>5</output>
5   surface area of the model=2∗pi∗r(r+h)=80∗pi   which gives h=3 and H=3∗16=48   So, volume of the barrel =pi∗R2∗H=pi∗(80)2∗(48) in cubic inches   178 pieonverting in cubic ft results: volume =pi∗(80)2∗(48)/(12)3=178pi cubic ft approximately   Answer [178 pie]
<result>C</result>
80 pie square inches of material of negligible thickness are required to construct a 1/16 scale model of a cylindrical barrel. If the diameter of the base of the barrel is 160 inches, then what is the volume of the barrel, to the nearest cubic foot?