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 The sloping sides prevent plugging as the material is withdrawn.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

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Using excel how can i get hc
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 The sloping sides prevent plugging as the material is withdrawn.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.
0= 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
0 = 35 degrees
Helpful Equations:
Volume of a Cone:
V = = πr²h
Volume of a cylinder:
π(27)²(h – n.)
V =
D-diameter of tank
r
h
hc
Transcribed Image Text: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 The sloping sides prevent plugging as the material is withdrawn.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. 0= 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 0 = 35 degrees Helpful Equations: Volume of a Cone: V = = πr²h Volume of a cylinder: π(27)²(h – n.) V = D-diameter of tank r h hc
Expert Solution
Step 1

To calculate the volume of the tank using Microsoft Excel, you can use the following steps:

  1. Create a table with two columns: "Height" and "Volume".

  2. In the "Height" column, enter values from 0 to 20 in increments of 1 (for a total of 21 rows).

  3. 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).

  4. Copy the formula down the column to calculate the volume for each height.

  5. 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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