A loading chute in a flour mill goes directly into a feeding bin. The feeding bin is in the shape of an inverted right circular cone, as shown in the fi Loading chute 14.0 ft. 19.0 ft i
A loading chute in a flour mill goes directly into a feeding bin. The feeding bin is in the shape of an inverted right circular cone, as shown in the fi Loading chute 14.0 ft. 19.0 ft i
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
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![**Description of the Feeding Bin and Calculations for Bushels of Wheat**
In a flour mill, the loading chute directs material into a feeding bin, depicted here as an inverted right circular cone.
**Diagram Explanation:**
- The cone's top diameter is 14.0 feet.
- The height of the cone is 19.0 feet.
- The chute is labeled as the "Loading chute," positioned above the bin.
The objective is to determine how many bushels of wheat can fit in this feeding bin. The conversion factor provided is 0.804 bushels (bu) per cubic foot.
**Formula for Volume of a Cone:**
\[ V = \frac{1}{3} \pi r^2 h \]
Where:
- \( r \) is the radius of the cone (half of the diameter, so 7.0 feet),
- \( h \) is the height of the cone (19.0 feet).
**Converting Cubic Feet to Bushels:**
After calculating the volume in cubic feet, divide by 0.804 to convert to bushels.
**Calculation Steps:**
1. Calculate the volume \( V \) of the cone.
2. Use the conversion to find how many bushels fit into this volume.
**Final Calculation:**
[Textbox for input]: `______ bu`
This activity helps in understanding the measurement conversions and applying geometric formulas in practical scenarios like grain storage.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F38505d4a-f215-46a3-a7a9-3e29acdc25bf%2Fb5535289-df90-4089-aa5f-7943a522b0cc%2Fx0m3qvf_processed.png&w=3840&q=75)
Transcribed Image Text:**Description of the Feeding Bin and Calculations for Bushels of Wheat**
In a flour mill, the loading chute directs material into a feeding bin, depicted here as an inverted right circular cone.
**Diagram Explanation:**
- The cone's top diameter is 14.0 feet.
- The height of the cone is 19.0 feet.
- The chute is labeled as the "Loading chute," positioned above the bin.
The objective is to determine how many bushels of wheat can fit in this feeding bin. The conversion factor provided is 0.804 bushels (bu) per cubic foot.
**Formula for Volume of a Cone:**
\[ V = \frac{1}{3} \pi r^2 h \]
Where:
- \( r \) is the radius of the cone (half of the diameter, so 7.0 feet),
- \( h \) is the height of the cone (19.0 feet).
**Converting Cubic Feet to Bushels:**
After calculating the volume in cubic feet, divide by 0.804 to convert to bushels.
**Calculation Steps:**
1. Calculate the volume \( V \) of the cone.
2. Use the conversion to find how many bushels fit into this volume.
**Final Calculation:**
[Textbox for input]: `______ bu`
This activity helps in understanding the measurement conversions and applying geometric formulas in practical scenarios like grain storage.
Expert Solution
Step 1
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.
the radius of the cone is r=14 feet
and the height of the cone is h=19 feet
Step by step
Solved in 3 steps with 10 images
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