A grain silo is shown below: Grain silo formed by cylinder with radius 8 feet and height 172 feet and a half sphere on the top What is the volume of grain that could completely fill this silo, rounded to the nearest whole number? Use 22 over 7 for pi. (4 points) 34,597 ft3 11,532 ft3 35,669 ft3 2,146 ft3

Answer: Third option: [tex]35,669 ft^3[/tex]Step-by-step explanation: You need to use the formula for calculate the volume of a cylinder: [tex]V_c=\pi r^2h[/tex] Where r is the radius (In this case is 8 feet) and h is the height (In this case is 172 feet). The formula for calculate the volume of a half sphere is: [tex]V_s= \frac{2}{3} \pi  r^3[/tex] Where r is the radius (In this case is 8 feet) You need to add the volume of the cylinder and the volume of the half-sphere. Then the volume of grain that could completely fill this silo, rounded to the nearest whole number is (Remeber to use [tex]\frac{22}{7}[/tex] for [tex]\pi[/tex]): [tex]V=(\frac{22}{7}) (8ft)^2(172ft)+ (\frac{2}{3})(\frac{22}{7})(8ft)^3=35,669 ft^3[/tex]