A grain silo has a cylindrical shape. Its diameter is 18ft, and its height is 44ft. What is the volume of grain that can be stored in the silo?(Use the value 3.14 for pi, and round your answer to the nearest cubic foot. Be sure to include the correct unit in your answer.)
d=18 feet r= 9 feet h=44 feet volume of grain stored = pi*r^2*h =3.14*81*44 =11130.96 cubic feet =11131 cubic feet
A silo is a cylinder with a half sphere on top. The volume of the cylinder is base x height Which is pi*r^2*h From 18ft diameter, we know that the radius is 9. Therefore, the area of the cylinder is: 81pi*44=11191Cubic feet. The area of a sphere is 4(pi*r^3)/3; which makes half a sphere 2(pi*r^3)/3. Therefore, the area of the halfsphere is 2(pi*9^3)/3=1526 Cubic feet. Adding the two volumes together, the total volume of the silo is 12717 cubic feet.
