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
Related questions
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
![Certainly! Below is the transcription suitable for an educational website:
---
### Problem Statement
A cylinder has a base radius of 7 inches and a height of 20 inches. What is its volume in cubic inches, to the nearest tenth's place?
### Solution
To find the volume of a cylinder, you can use the formula:
\[ V = \pi r^2 h \]
where:
- \( V \) is the volume,
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder, and
- \(\pi\) is approximately \( 3.14159 \).
Given:
- Radius \( r = 7 \) inches,
- Height \( h = 20 \) inches.
Now substitute the values into the formula:
\[ V = \pi (7)^2 (20) \]
\[ V = \pi (49) (20) \]
\[ V = \pi (980) \]
\[ V \approx 3.14159 \times 980 \]
\[ V \approx 3078.76 \]
### Answer:
The volume of the cylinder is \( \boxed{3078.8 \text{ in}^3} \).
---
**Note:** The graphical interface includes a boxed area for submitting the answer, and standard mathematical notation is used to represent the volume formula and calculation steps.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F93e35ee3-d6cc-41bd-8e16-f9ac42c71034%2F7d42f7d7-a718-440c-8c28-251fa122617f%2Fys8f5iw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Certainly! Below is the transcription suitable for an educational website:
---
### Problem Statement
A cylinder has a base radius of 7 inches and a height of 20 inches. What is its volume in cubic inches, to the nearest tenth's place?
### Solution
To find the volume of a cylinder, you can use the formula:
\[ V = \pi r^2 h \]
where:
- \( V \) is the volume,
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder, and
- \(\pi\) is approximately \( 3.14159 \).
Given:
- Radius \( r = 7 \) inches,
- Height \( h = 20 \) inches.
Now substitute the values into the formula:
\[ V = \pi (7)^2 (20) \]
\[ V = \pi (49) (20) \]
\[ V = \pi (980) \]
\[ V \approx 3.14159 \times 980 \]
\[ V \approx 3078.76 \]
### Answer:
The volume of the cylinder is \( \boxed{3078.8 \text{ in}^3} \).
---
**Note:** The graphical interface includes a boxed area for submitting the answer, and standard mathematical notation is used to represent the volume formula and calculation steps.
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