Lynda S.

asked • 04/24/25

What is the volume of the silo. Use 3.14 for piano round to nearest hundredth if a meter.

20 m high to top of silo. 16 m high to bottom of cylinder. And a radius of 4 m

Robin J.

tutor
A silo is a composite figure, meaning that you can think of it as several different figures put together. Try breaking the silo figure down into a cylinder with half of a sphere on top. If you find the volume of each figure, you can add the volumes together to get the volume of the composite figure. The equation to calculate the volume of a cylinder is V=πr²h And the equation to calculate the volume of a sphere is V=(4/3)πr³ Don't forget that the figure on top is half a sphere, so it's volume would be half that of a full sphere.
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04/25/25

2 Answers By Expert Tutors

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Natali G. answered • 04/24/25

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The Total Volume of the Conical Silo is 870.83 m3.


Formula:

The Volume of a Conical Silo (Vs) = Volume of a Cone (Vcn) + Volume of a Cylinder (Vcy)

Vs = Vcn + Vcy

when,

Vcn = (1⁄3) π·r2·h & Vcy = π·r2·h


Given:

  1. The total height of the silo = ht = 20m,
  2. The height of the cylinder = hc = 16m
  3. The radius = r = 4m
  4. Assume π = 3.14

Step 1:

Vcn = (1⁄3) π·r2·h, where h = height of the cone

Therefore: height of the cone (h) = The total height of the silo (ht) - height of the cylinder (hcy)

h = ht – hcy

= 20m –16m

= 4m

Vcn = (1⁄3)·(3.14)·(4m)2·(4m)

= 66.99 m3

Step 2:

Vcy = π·r2·h, where h is total height of the cylinder (hc =16m)

Vcy = (3.14)·(4m)2·(16m)

= 803.84m3


Step 3:

Vs = 66.99 m3+ 803.84m3

= 870.83 m3


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Bradford T.

Not a cone, it is a hemisphere on top of a cylinder.
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04/24/25

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