Respuesta :
The combined capacity of the silos would be 26,788.125 cubic feet.
What is the volume of a cylinder?
The volume of the cylinder is the product of the height, pie, and square of the radius.
The volume of the cylinder = [tex]\pi r^{2} h[/tex]
The dimensions of the smaller silo are 3/4 the size of the dimensions of the larger silo. The larger silo has a height of 60 feet and a diameter of 20 feet.
The volume of the larger cylinder = [tex]\pi r^{2} h[/tex]
                          [tex]\pi \times60 \times 10^{2} \\= 22/7 \times60 \times 100\\= 18857.14[/tex]cubic feet
We know that the dimensions of the smaller silo are 3/4 the size of the dimensions of the larger silo.
The height of a smaller silo would be 45 feet.
The diameter of a smaller silo would be 15 feet.
                          = 18857.14 × 3/4
The volume of the smaller silo  =  [tex]\pi r^{2} h[/tex]
                          = [tex]3.14\times 45 \times (7.5)^{2}[/tex]
                           =  7948.125 cubic feet
The combined capacity of the silos = 7948.125+18857.14
                              =  26,788.125 cubic feet
Thus, The combined capacity of the silos would be 26,788.125 cubic feet.
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