Answer: The correct option is (C) 50 feet.
Step-by-step explanation: Given that a farmer has a silo in the shape of a rectangular prism. The silo can hold 7200 cubic feet of grain and the base of the silo has an area of 144 square feet.
We are to find the height of the silo.
We know that
the volume of a rectangular prism with area of the base b square units and height h units is given by
[tex]V=bh.[/tex]
Here, V = 7200 cubic feet and b = 144 square feet.
Therefore, we have
[tex]V=bh\\\\\Rightarrow 7200=144\times h\\\\\\\Rightarrow h=\dfrac{7200}{144}\\\\\\\Rightarrow h=50.[/tex]
Thus, the height of the silo is 50 feet.
Option (C) is CORRECT.
