Answer: There are 2 rectangular bales contain the same amount of hay as one cylinder bale.
Step-by-step explanation:
Since we have given that
Length of rectangular prism = 4 feet
Breadth of rectangular prism = 2 feet
Height of rectangular prism = 2 feet
So, Volume of rectangular prism is given by
\(Length\times breadth\times height\\\\=4\times 2\times 2\\\\=16\ ft^3\)
Similarly,
Diameter of cylinder bale = 3 feet
Radius of cylinder bale = 1.5 feet
Height of cylinder bale = 6 feet
So, Volume of cylinder bale is given by
\(=\pi r^2h\\\\=\frac{22}{7}\times 1.5\times 1.5\times 6\\\\=42.42\ ft^3\)
So, we need to find the number of rectangular bales contain the same amount of hay as one cylindrical bale is given by
\(\frac{42.42}{16}\\\\=2.65\\\\\approx 2\)
Hence, there are 2 rectangular bales contain the same amount of hay as one cylinder bale.