Calculate the volume of the figure. Round answer to the nearest hundredth. Enter number only, don't enter meters cubed. Use your Formula Sheet. Right cylinder topped with a cone. 12m Your answer 6 8 100 0
Calculate the volume of the figure. Round answer to the nearest hundredth. Enter number only, don't enter meters cubed. Use your Formula Sheet. Right cylinder topped with a cone. 12m Your answer 6 8 100 0
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
![**Topic: Calculating the Volume of Composite Figures**
**Volume Calculation Problem:**
Calculate the volume of the figure. Round the answer to the nearest hundredth. Enter the number only, don't enter meters cubed. Use your Formula Sheet.
[Diagram Description: Right Cylinder Topped with a Cone]
The diagram features a composite figure consisting of a right cylinder topped with a cone. The dimensions are as follows:
- Height of the cylinder: 12 meters
- Radius of the base (common to both the cylinder and the cone): 8 meters
- Height of the cone: 6 meters
**Instructions:**
1. Calculate the volume of the cylinder.
- Use the formula: V_cylinder = πr²h
- Where:
- r = radius of the base (8 meters)
- h = height of the cylinder (12 meters)
2. Calculate the volume of the cone.
- Use the formula: V_cone = (1/3)πr²h
- Where:
- r = radius of the base (8 meters)
- h = height of the cone (6 meters)
3. Add the volume of the cylinder and the volume of the cone to get the total volume of the composite figure.
**Note:**
- Ensure all calculations are rounded to the nearest hundredth.
- Inputs are to be numeric only, without units of measurement.
**Graph/Diagram Explanation:**
- The diagram depicts a three-dimensional composite figure combining a right cylinder and a cone. The right cylinder serves as the base, with a circular top on which the cone is placed. The cone shares the same radius as the cylinder and sits perfectly aligned on top of the cylinder.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf693007-feb9-4e65-ba86-b1b16e800487%2F3680dbdd-92df-47c1-84af-f1bdc1f07a05%2Fbu0c96a_processed.png&w=3840&q=75)
Transcribed Image Text:**Topic: Calculating the Volume of Composite Figures**
**Volume Calculation Problem:**
Calculate the volume of the figure. Round the answer to the nearest hundredth. Enter the number only, don't enter meters cubed. Use your Formula Sheet.
[Diagram Description: Right Cylinder Topped with a Cone]
The diagram features a composite figure consisting of a right cylinder topped with a cone. The dimensions are as follows:
- Height of the cylinder: 12 meters
- Radius of the base (common to both the cylinder and the cone): 8 meters
- Height of the cone: 6 meters
**Instructions:**
1. Calculate the volume of the cylinder.
- Use the formula: V_cylinder = πr²h
- Where:
- r = radius of the base (8 meters)
- h = height of the cylinder (12 meters)
2. Calculate the volume of the cone.
- Use the formula: V_cone = (1/3)πr²h
- Where:
- r = radius of the base (8 meters)
- h = height of the cone (6 meters)
3. Add the volume of the cylinder and the volume of the cone to get the total volume of the composite figure.
**Note:**
- Ensure all calculations are rounded to the nearest hundredth.
- Inputs are to be numeric only, without units of measurement.
**Graph/Diagram Explanation:**
- The diagram depicts a three-dimensional composite figure combining a right cylinder and a cone. The right cylinder serves as the base, with a circular top on which the cone is placed. The cone shares the same radius as the cylinder and sits perfectly aligned on top of the cylinder.
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