A grain silo is shown below:grain silo formed by cylinder with radius 5 feet and height 175 feet and a half sphere on the topwhat is the volume of grain that could completely fill this silo, rounded to the nearest whole number? use 22 over 7 for pi.

Question

Physics

Cheyanne Hayes

31 October, 21:21

A grain silo is shown below:grain silo formed by cylinder with radius 5 feet and height 175 feet and a half sphere on the topwhat is the volume of grain that could completely fill this silo, rounded to the nearest whole number? use 22 over 7 for pi.

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Answers (1)

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Alfredo Vang · Answer 1

Find the volume of the bottom and top separately and then add them.

Cylinder volume is the area of the bottom times the height

(22/7) (5^2) •175=13750 ft^3

The volume of a sphere is

V = (4/3) (22/7) r^3

where r is the radius. Here that's also 5 since it fits on the cylinder.

Also we only want half the sphere so use

V = (2/3) (22/7) •5^3=261.9 ft^3

Which we round upto 262.

Now add the parts together

13750+262=14,012 ft^3