The silo below is half-a-sphere on top of a cylinder. The container (including the top) is will be filled up to 87% capacity. What will the filled volume be? (The figure is not drawn to scale.)
base = 38 ft
height = 128 ft
Plz show work (and the correct answer)
Volume of cylinder = πr^2h
r = 19 ft (half of 38 ft)
h = 128 ft
Volume of cylinder = π(19)^2(128) = 11,845,120π ft^3
Volume of hemisphere = 2/3πr^3
r = 19 ft
Volume of hemisphere = 2/3π(19)^3 = 11,845,120π ft^3
Total volume = 11,845,120π ft^3 + 11,845,120π ft^3 = 23,690,240π ft^3
Filled volume = 87% of 23,690,240π ft^3
Filled volume = 20,622,912π ft^3