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Calculate Grain Storage Volume in a Cylindrical Silo (GED Math)

The Organic Chemistry TutorJanuary 12, 20261 min3,073 views
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Understanding the Problem

  • 🎯 The problem asks to find the amount of grain in cubic feet a farmer can store in a cylindrical silo.
  • πŸ’‘ This amount is equivalent to the volume of the cylinder itself.

Calculating the Radius

  • πŸ“ A cylinder's dimensions are its radius, diameter, and height.
  • πŸ“ The diameter is given as 20 ft, and the radius is half of the diameter.
  • πŸ”‘ Therefore, the radius is 10 ft (20 ft / 2).

Volume Formula and Calculation

  • Formula: The volume of a cylinder is calculated using the formula V = Ο€ * rΒ² * h.
  • Values: We use Ο€ = 3.14, radius (r) = 10 ft, and height (h) = 60 ft.
  • Step 1: Calculate the radius squared: 10Β² = 100.
  • Step 2: Multiply by the height: 100 * 60 = 6,000.
  • Step 3: Multiply by Pi: 6,000 * 3.14 = 18,840.

Final Answer

  • πŸ“¦ The calculated volume of the silo is 18,840 cubic feet.
  • βœ… This represents the total volume of grain the farmer can store.
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What’s Discussed

Volume of a CylinderCylindrical SiloCubic FeetGED MathFarmerGrain StorageRadiusDiameterHeightPi Approximation
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