contestada

Sue has five grain bins on her farm. The bins are 42 feet in diameter and 28 feet high to the roof. The roof has a height of 7 feet. She does not fill the roof. (Note: 1.25 cubic feet = 1 bushel)a. How many cubic feet are in one bin?b. How many bushels can she store on the farm?

Respuesta :

Solution

Part a

For this case we can assume that each grain present a cylindrical form then the volume is given by:

[tex]V=\pi(r^2)h[/tex]

For this case r= 42/2= 21ft and h = 28 ft

Then the volume for one bin is:

[tex]V=\pi(21ft)^2(28ft)=38792.386ft^3[/tex]

Part b

For this part we can do the following conversion:

[tex]38792.386ft^3\cdot\frac{1bushe}{1.25ft^3}=31033.91bushels[/tex]

And since she has 5 bins the total of bushels are:

31033.91*5= 155169.54 bushels

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