A silo is in the shape of a cone. The silo is 12 meters tall, and its base has a diameter of 4 meters. Oats cost $98 per cubic meter. How much will it cost to fill the silo with oats? Use 3.14 forT, and do not round your answer.
A silo is in the shape of a cone. The silo is 12 meters tall, and its base has a diameter of 4 meters. Oats cost $98 per cubic meter. How much will it cost to fill the silo with oats? Use 3.14 forT, and do not round your answer.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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![### Question:
A silo is in the shape of a cone. The silo is 12 meters tall, and its base has a diameter of 4 meters. Oats cost $98 per cubic meter. How much will it cost to fill the silo with oats?
Use 3.14 for π, and do not round your answer.
#### Answer:
There is an input box for the answer, with buttons for basic mathematical operations such as multiplication (x), exponentiation (ʘ), and a symbol for a hint or help (?).
---
Note: To solve this, you would need to calculate the volume of the cone using the formula:
\[ V = \frac{1}{3} \pi r^2 h \]
where \( r \) (radius) is half of the diameter, \( h \) (height) is 12 meters, and \( \pi \) is 3.14. Then, multiply the volume by the cost per cubic meter to find the total cost.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e141d02-c449-4c5f-bcdb-66c2ea89ab3a%2Fd1ff7f3d-dcc9-4b1c-a885-39a07b927d82%2F5eji6fn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Question:
A silo is in the shape of a cone. The silo is 12 meters tall, and its base has a diameter of 4 meters. Oats cost $98 per cubic meter. How much will it cost to fill the silo with oats?
Use 3.14 for π, and do not round your answer.
#### Answer:
There is an input box for the answer, with buttons for basic mathematical operations such as multiplication (x), exponentiation (ʘ), and a symbol for a hint or help (?).
---
Note: To solve this, you would need to calculate the volume of the cone using the formula:
\[ V = \frac{1}{3} \pi r^2 h \]
where \( r \) (radius) is half of the diameter, \( h \) (height) is 12 meters, and \( \pi \) is 3.14. Then, multiply the volume by the cost per cubic meter to find the total cost.
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