A silo has a diameter of 24 feet and the height of the cylinder is 51 feet. the height
of the cone adds an additional 12 feet. find the total volume of 1 silo. show all
work.

Respuesta :

The total volume of 1 silo is 24868.8 cubic feet

How to determine the total volume?

The given parameters are:

  • Diameter, d = 24 feet
  • Height of cylinder, H = 51 feet
  • Height of cone, h = 12 feet

The volume of the silo is calculated using:

Volume = Volume of cylinder + Volume of cone

This gives

[tex]V = \pi (d/2)^2H + \frac 13\pi (d/2)^2h[/tex]

So, we have:

[tex]V = 3.14 * (24/2)^2 * 51 + \frac 13 * 3.14 * (24/2)^2 * 12[/tex]

Evaluate

V = 24868.8

Hence, the total volume of 1 silo is 24868.8 cubic feet

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