Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter64: Volumes Of Spheres And Composite Solid Figures
Section: Chapter Questions
Problem 23A: A seamless brass tube and brass flange assembly is shown. The tube is pressed fit into the full...
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Concept explainers
Cylinders
A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.
Cones
A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.
Question
![### Cylinder Volume Calculation
#### Problem Statement:
A cylinder has a base diameter of 16 cm and a height of 19 cm. What is its volume in cubic cm, to the nearest tenth place?
#### Answer Entry:
To find the volume, use the formula for the volume of a cylinder:
\[ V = \pi r^2 h \]
Where:
- \( V \) is the volume
- \( \pi \) is approximately 3.14159
- \( r \) is the radius of the base
- \( h \) is the height
Given:
- Diameter \( = 16 \) cm, therefore, Radius \( r = \frac{16}{2} = 8 \) cm
- Height \( h = 19 \) cm
#### Calculation:
\[ V = \pi (8^2) (19) \]
\[ V = \pi (64) (19) \]
\[ V = 3.14159 \times 1216 \]
\[ V \approx 3820.0 \] cubic cm (to the nearest tenth place)
Fill the answer in the box provided:
```plaintext
Answer: V = 3820.0 cm³
```
#### Interactive Part:
**Answer Submission:**
1. **Calculator Entry Box**:
\( \boxed{\text{3820.0}} \ cm^3 \)
2. **Submit Button**:
```plaintext
[Submit Answer]
```](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F51a53677-aa39-4096-81d9-986147bdcda4%2Fa187be9d-25d1-4b9f-a4e6-d65b1720fb15%2Fmi6bobe_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Cylinder Volume Calculation
#### Problem Statement:
A cylinder has a base diameter of 16 cm and a height of 19 cm. What is its volume in cubic cm, to the nearest tenth place?
#### Answer Entry:
To find the volume, use the formula for the volume of a cylinder:
\[ V = \pi r^2 h \]
Where:
- \( V \) is the volume
- \( \pi \) is approximately 3.14159
- \( r \) is the radius of the base
- \( h \) is the height
Given:
- Diameter \( = 16 \) cm, therefore, Radius \( r = \frac{16}{2} = 8 \) cm
- Height \( h = 19 \) cm
#### Calculation:
\[ V = \pi (8^2) (19) \]
\[ V = \pi (64) (19) \]
\[ V = 3.14159 \times 1216 \]
\[ V \approx 3820.0 \] cubic cm (to the nearest tenth place)
Fill the answer in the box provided:
```plaintext
Answer: V = 3820.0 cm³
```
#### Interactive Part:
**Answer Submission:**
1. **Calculator Entry Box**:
\( \boxed{\text{3820.0}} \ cm^3 \)
2. **Submit Button**:
```plaintext
[Submit Answer]
```
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