The figure is made up of a cone and a hemisphere. To the nearest whole number, what is the volume of this figure? Use 3.14 to approximate . Round only your final answer to the nearest whole number. Enter your answer in the box. 8 cm 12 cm
The figure is made up of a cone and a hemisphere. To the nearest whole number, what is the volume of this figure? Use 3.14 to approximate . Round only your final answer to the nearest whole number. Enter your answer in the box. 8 cm 12 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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![**Calculator**
The figure is made up of a cone and a hemisphere.
To the nearest whole number, what is the volume of this figure?
Use 3.14 to approximate π. Round only your final answer to the nearest whole number.
Enter your answer in the box.
________ cm³
**Diagram Explanation:**
The diagram shows a composite figure consisting of a cone with a hemisphere attached to its base. The cone and hemisphere share a base radius of 8 cm. The height of the cone is 12 cm.
To find the total volume:
1. **Volume of the Hemisphere:**
\[
\text{Volume} = \frac{2}{3} \pi r^3
\]
Substitute \( r = 8 \) cm and \( \pi \approx 3.14 \).
2. **Volume of the Cone:**
\[
\text{Volume} = \frac{1}{3} \pi r^2 h
\]
Substitute \( r = 8 \) cm, \( h = 12 \) cm, and \( \pi \approx 3.14 \).
Add the volumes of the hemisphere and cone to get the total volume.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F380e4330-105f-4e06-84c0-047490362d91%2F31b8d02d-e99a-4031-bc52-220a4c38c3bc%2Fmzkmh5b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Calculator**
The figure is made up of a cone and a hemisphere.
To the nearest whole number, what is the volume of this figure?
Use 3.14 to approximate π. Round only your final answer to the nearest whole number.
Enter your answer in the box.
________ cm³
**Diagram Explanation:**
The diagram shows a composite figure consisting of a cone with a hemisphere attached to its base. The cone and hemisphere share a base radius of 8 cm. The height of the cone is 12 cm.
To find the total volume:
1. **Volume of the Hemisphere:**
\[
\text{Volume} = \frac{2}{3} \pi r^3
\]
Substitute \( r = 8 \) cm and \( \pi \approx 3.14 \).
2. **Volume of the Cone:**
\[
\text{Volume} = \frac{1}{3} \pi r^2 h
\]
Substitute \( r = 8 \) cm, \( h = 12 \) cm, and \( \pi \approx 3.14 \).
Add the volumes of the hemisphere and cone to get the total volume.
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