A hole is drilled through the center of a sphere x² + y² + z² = R,², leaving a ring-shape solid. If the drill used is cylindrical in shape with radius Ra, use polar coordinates to formulate the volume V of the remaining solid. (b)

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 44AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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Question
Q4 (b)
Question 4
(a)
Evaluate, with the order of integration being reversed, an equivalent integral
of the following integral:
r6–3x
ydydx.
Draw a diagram to illustrate the process.
A hole is drilled through the center of a sphere x2+y² + z² = R,², leaving a
ring-shape solid. If the drill used is cylindrical in shape with radius R4, use
polar coordinates to formulate the volume V of the remaining solid.
(b)
Transcribed Image Text:Question 4 (a) Evaluate, with the order of integration being reversed, an equivalent integral of the following integral: r6–3x ydydx. Draw a diagram to illustrate the process. A hole is drilled through the center of a sphere x2+y² + z² = R,², leaving a ring-shape solid. If the drill used is cylindrical in shape with radius R4, use polar coordinates to formulate the volume V of the remaining solid. (b)
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