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
![**Question:**
What is the volume, in cubic in., of a cylinder with a height of 15 in and a base radius of 5 in, to the nearest tenths place?
---
This question involves finding the volume of a cylinder. To do this, use the formula for the volume of a cylinder:
\[ V = \pi r^2 h \]
where:
- \( V \) is the volume,
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder,
- \( \pi \) is a constant approximately equal to 3.14159.
Given:
- Height (h) = 15 inches,
- Radius (r) = 5 inches.
First, square the radius:
\[ r^2 = 5^2 = 25 \]
Then, multiply by the height:
\[ 25 \times 15 = 375 \]
Finally, multiply by \( \pi \):
\[ V = \pi \times 375 \approx 3.14159 \times 375 \approx 1178.1 \]
Therefore, the volume of the cylinder is approximately 1178.1 cubic inches, to the nearest tenths place.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F71ad11dc-25a4-4aef-afaf-b0879e57e72d%2F2f124966-f87c-4fed-b18f-164ae9e9da44%2F4ikbbsp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
What is the volume, in cubic in., of a cylinder with a height of 15 in and a base radius of 5 in, to the nearest tenths place?
---
This question involves finding the volume of a cylinder. To do this, use the formula for the volume of a cylinder:
\[ V = \pi r^2 h \]
where:
- \( V \) is the volume,
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder,
- \( \pi \) is a constant approximately equal to 3.14159.
Given:
- Height (h) = 15 inches,
- Radius (r) = 5 inches.
First, square the radius:
\[ r^2 = 5^2 = 25 \]
Then, multiply by the height:
\[ 25 \times 15 = 375 \]
Finally, multiply by \( \pi \):
\[ V = \pi \times 375 \approx 3.14159 \times 375 \approx 1178.1 \]
Therefore, the volume of the cylinder is approximately 1178.1 cubic inches, to the nearest tenths place.
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