A cylindrical drill with radius 4 inches is used to bore a hole through the center of a sphere of radius 5 inches leaving the solid shown in Find the volume of this solid. 1. volume = 18 ↑ cu. ins 2. volume = 27 T cu. ins 3. volume 36 cu. ins 4. volume = 18 cu. ins 5. volume 36 T cu. ins 6. volume 27 cu. ins
A cylindrical drill with radius 4 inches is used to bore a hole through the center of a sphere of radius 5 inches leaving the solid shown in Find the volume of this solid. 1. volume = 18 ↑ cu. ins 2. volume = 27 T cu. ins 3. volume 36 cu. ins 4. volume = 18 cu. ins 5. volume 36 T cu. ins 6. volume 27 cu. ins
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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#### Description of the Diagram:
- The image shows a sphere with a cylindrical hole through its center.
- The axes, labeled x, y, and z, indicate the orientation of the solid in three-dimensional space.
- The sphere is depicted as a hollow ring, representing the remaining solid after the central cylindrical portion is removed.
#### Problem Statement:
Determine the volume of the remaining solid. Choose the correct volume from the options below:
1. Volume = \(18 \pi \ \text{cu. ins}\)
2. Volume = \(27 \pi \ \text{cu. ins}\)
3. Volume = \(36 \ \text{cu. ins}\)
4. Volume = \(18 \ \text{cu. ins}\)
5. Volume = \(36 \pi \ \text{cu. ins}\)
6. Volume = \(27 \ \text{cu. ins}\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F476a7a93-3242-4b81-b338-34642657d3b8%2Fae43f5be-7adb-4c2a-aa68-c1bedf7552eb%2Fg984lyp_processed.png&w=3840&q=75)
Transcribed Image Text:### Calculating the Volume of a Solid
A cylindrical drill with a radius of 4 inches is used to bore a hole through the center of a sphere with a radius of 5 inches, leaving the solid depicted in the image.
#### Description of the Diagram:
- The image shows a sphere with a cylindrical hole through its center.
- The axes, labeled x, y, and z, indicate the orientation of the solid in three-dimensional space.
- The sphere is depicted as a hollow ring, representing the remaining solid after the central cylindrical portion is removed.
#### Problem Statement:
Determine the volume of the remaining solid. Choose the correct volume from the options below:
1. Volume = \(18 \pi \ \text{cu. ins}\)
2. Volume = \(27 \pi \ \text{cu. ins}\)
3. Volume = \(36 \ \text{cu. ins}\)
4. Volume = \(18 \ \text{cu. ins}\)
5. Volume = \(36 \pi \ \text{cu. ins}\)
6. Volume = \(27 \ \text{cu. ins}\)
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