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Answer :
To find the volume of the silo we can add the volumes of the cylinder and hemisphere on top of the cylinder. The formula for the volume of the cylinder is V = πr²h, where r is the radius and h is the height of the cylinder.
The formula for the volume of the hemisphere is V = 2/3πr³, where r is the radius of the hemisphere.
The radius of the hemisphere is half of the diameter which is 4.4/2 = 2.2 meters. The height of the cylinder is also 6.2 meters. So, the radius of the cylinder will be 4.4/2 = 2.2 meters. Therefore, the volume of the cylinder is:
Vcylinder = πr²h
= 3.14 × 2.2² × 6.2
≈ 93.50 cubic meters
The volume of the hemisphere is:
Vhemisphere = 2/3πr³
= 2/3 × 3.14 × (2.2)³
≈ 14.44 cubic meters
To get the total volume, we add the volume of the cylinder and hemisphere on top of it:
Vtotal ≈ 93.50 + 14.44
≈ 107.94 cubic meters
Therefore, the approximate total volume of the silo is 107.94 cubic meters.
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