Take a uniform ball of radius R = 2, and drill a cylindrically-shaped hole of radius r = a through its center. What remains is sort of a bulgy ring. Calculate the exact radius a of the cylindrical hole so that the volume of the bulgy ring is equal to the volume that was drilled out. That is, the bulgy ring is half the volume of the original ball. a R-2 not necessarily drawn to scale
Take a uniform ball of radius R = 2, and drill a cylindrically-shaped hole of radius r = a through its center. What remains is sort of a bulgy ring. Calculate the exact radius a of the cylindrical hole so that the volume of the bulgy ring is equal to the volume that was drilled out. That is, the bulgy ring is half the volume of the original ball. a R-2 not necessarily drawn to scale
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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Transcribed Image Text:Take a uniform ball of radius R = 2, and drill a cylindrically-shaped hole of radius
r = a through its center. What remains is sort of a bulgy ring.
Calculate the exact radius a of the cylindrical hole so that the volume of the bulgy ring is equal to
the volume that was drilled out. That is, the bulgy ring is half the volume of the original ball.
a
R-2
not necessarily drawn to scale
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