Part 1 - Problem Statement: Vertical tanks with a conical base are often used for storing solids such as grain, salt, and gravel. The sloping sides prevent plugging as the material is withdrawn. Variables: ܀ h = height of the tank h = height of the conical section D= diameter of the tank ܀ r = radius of the conical section. 8= angle of the conical section is 0. Determine: Develop a table at 1 ft intervals (from 0 to 20 ft in height) that summarizes the volume of the tank Assume the following: h = 20 ft D = 10 ft 8 = 35 degrees Helpful Equations: Volume of a Cone: V = = πr²h Volume of a cylinder: = π(-2/-)²³ (n − n) V = D-diameter of tank 0 hc
To calculate the volume of the tank using Microsoft Excel, you can use the following steps:
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Create a table with two columns: "Height" and "Volume".
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In the "Height" column, enter values from 0 to 20 in increments of 1 (for a total of 21 rows).
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In the "Volume" column, enter a formula to calculate the volume based on the height and the given variables. To calculate the radius of the conical section, use the formula: r = D/2. To calculate the volume, use the formula: V = (π/3) * r^2 * h, where π is the mathematical constant pi (approximated as 3.14159).
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Copy the formula down the column to calculate the volume for each height.
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The resulting table will show the volume of the tank at 1-foot intervals, from 0 to 20 feet in height.
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