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3 years ago

A grain silo is composed of a cylinder and a hemisphere.

Mathematics

1 answer:

viktelen [127]3 years ago

7 0

Answer: The approximate total volume of the silo is 116.5 m3

Step-by-step explanation:

Hi, the volume of the silo is equal to: volume of the cylinder + volume of the hemisphere:

Volume of the cylinder:

V = π x r²x h

Where:

R = radius (in this case, to obtain the radius we have to divide the diameter by two since radius = diameter /2)

h = height

Replacing with the values given:

V = π x r²x h = 3.14 x (4.4/2) ²6.2= 3.14 x (2.2)²x 6.2 = 94.22512 m3

And for the hemisphere:

Volume of the hemisphere: 2/3 x π x r3

Replacing with the values given;

v= 2/3 x 3.14 x 2.2∧3= 22.28m3

Finally, adding both results:

Volume of the silo = volume of the cylinder + volume of the hemisphere:

94.22 m3+ 22.28m3 = 116.5 m3

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Step-by-step explanation:

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