What is the volume of grain that could completely fill this silo, rounded to the nearest whole number? use 22 over 7 for pi. radius=5 height=175

The answer is 14,012 ft^3

Step-by-step explanation:

In order to find the volume of grain that could completely fill the silo, we need to determine the volume of the sphere and cylinder that make up the silo.

Note: 22/7 is pi in fraction form

Sphere:

V =  4/3π r^3  

 = 4/3(22/7)(5)^3

 = 4/3(22/7)(125)

 = 4/3 (22*125/7)

 = 4/3 (393)

 = 4/3 (392.9/1)

 = 524

If we look at the attached picture we notice that the sphere is cut in half, so we'll divide the volume by 2

V = 262

We're not done yet, we still have to find the volume of the cylinder...

Cylinder:

V = π r^2h

 = 22/7(r^2)h

 = 22/7(5)^2(175)

 = 22/7(25)(175)

 = 22/7(4375)

 = 22/7(4375/1)

V = 13750

Finally, we add the two volumes together and we get...

 = 13750 + 262

 = 14,012

V = 14,012 ft^3

I really hope this helps, good luck in geometry!

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step-by-step explanation:

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