A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 14 cm, and the base has a radius of 3 cm. How much water is needed to fill 125 cups? Use 3.14 for A, and do not round your answer. cm
A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 14 cm, and the base has a radius of 3 cm. How much water is needed to fill 125 cups? Use 3.14 for A, and do not round your answer. cm
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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![### Problem Description:
A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 14 cm, and the base has a radius of 3 cm. How much water is needed to fill 125 cups?
Use 3.14 for π, and do not round your answer.
[Volume Calculation Box]
**cm³**
[Function Buttons]
- Multiplication (×)
- Division (÷)
- Question Mark (?)
**Buttons at the bottom:**
- Check
- Save For Later
- Submit Assignment
---
**Instructions for Calculating Volume:**
1. **Volume of a Cone Formula:** The volume \( V \) of a cone is given by the formula:
\[
V = \frac{1}{3} \pi r^2 h
\]
where:
- \( \pi \) = 3.14
- \( r \) = radius of the base of the cone = 3 cm
- \( h \) = height of the cone = 14 cm
2. **Calculate the Volume of One Cup:**
Substitute the values of \( r \), \( h \), and \( \pi \) into the formula:
\[
V = \frac{1}{3} \times 3.14 \times (3)^2 \times 14
\]
3. **Total Volume for 125 Cups:**
Multiply the volume of one cup by 125 to get the total volume.
---
**Usage of Interface:**
- Use the Volume Calculation Box to input your numerical answer.
- Use the function buttons for multiplication and division if necessary.
- Use the "Check" button to verify your answer.
- You can save your progress using the "Save For Later" button.
- Finally, submit your assignment using the "Submit Assignment" button when you are satisfied with your answer.
**Note:** Ensure to follow the instructions and do not round your final answer to maintain accuracy.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F550c2c8a-e869-4cc2-9338-8dc4995fc738%2Fa5f24bf2-198f-459e-a482-75657c0111da%2F14tsuh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Description:
A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 14 cm, and the base has a radius of 3 cm. How much water is needed to fill 125 cups?
Use 3.14 for π, and do not round your answer.
[Volume Calculation Box]
**cm³**
[Function Buttons]
- Multiplication (×)
- Division (÷)
- Question Mark (?)
**Buttons at the bottom:**
- Check
- Save For Later
- Submit Assignment
---
**Instructions for Calculating Volume:**
1. **Volume of a Cone Formula:** The volume \( V \) of a cone is given by the formula:
\[
V = \frac{1}{3} \pi r^2 h
\]
where:
- \( \pi \) = 3.14
- \( r \) = radius of the base of the cone = 3 cm
- \( h \) = height of the cone = 14 cm
2. **Calculate the Volume of One Cup:**
Substitute the values of \( r \), \( h \), and \( \pi \) into the formula:
\[
V = \frac{1}{3} \times 3.14 \times (3)^2 \times 14
\]
3. **Total Volume for 125 Cups:**
Multiply the volume of one cup by 125 to get the total volume.
---
**Usage of Interface:**
- Use the Volume Calculation Box to input your numerical answer.
- Use the function buttons for multiplication and division if necessary.
- Use the "Check" button to verify your answer.
- You can save your progress using the "Save For Later" button.
- Finally, submit your assignment using the "Submit Assignment" button when you are satisfied with your answer.
**Note:** Ensure to follow the instructions and do not round your final answer to maintain accuracy.
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