Calculate Grain Storage Volume in a Cylindrical Silo (GED Math)
The Organic Chemistry TutorJanuary 12, 20261 min3,073 views
3 connectionsΒ·5 entities in this videoβUnderstanding the Problem
- π― The problem asks to find the amount of grain in cubic feet a farmer can store in a cylindrical silo.
- π‘ This amount is equivalent to the volume of the cylinder itself.
Calculating the Radius
- π A cylinder's dimensions are its radius, diameter, and height.
- π The diameter is given as 20 ft, and the radius is half of the diameter.
- π 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
- π¦ The calculated volume of the silo is 18,840 cubic feet.
- β This represents the total volume of grain the farmer can store.
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Transcript7 segments
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Whatβs Discussed
Volume of a CylinderCylindrical SiloCubic FeetGED MathFarmerGrain StorageRadiusDiameterHeightPi Approximation
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