9514 1404 393
Answer:
- cylinder and cone
- 256π ≈ 804.25 m³
Explanation:
The figure is a composite of a cylinder added to a cone.
The height of the conical portion is (20 m -14 m) = 6 m. We know that the volume of a cone is 1/3 the volume of a cylinder with the same dimensions. Another way to think of that is the volume of a cone is the same as that of a cylinder of 1/3 the height.
So, this figure has a volume equivalent to that of a 14 m tall cylinder topped by a (6 m)/3 = 2 m tall cylinder. Effectively, we're seeking the volume of a cylinder of radius 4 m and height 16 m.
V = πr²h
V = π(4 m)²(16 m) = 256π m³ ≈ 804.248 m³
The volume of the "silo" is 256π ≈ 804.25 m³.
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If you use 3.14 for π, you will get 803.84 m³.