Part 2: Find the error(s) and solve the problem correctly Find the volume of a sphere with a radius of 3 units using the volume by disks method. x² + y² = 3² y² = 6-x² V = y = √6-x² = L₁₂π (√6 - x²) dx -3 3 = πT Π -3 6x-x² dx = π|6x - 3 =π 6(3)- = π[9 - (-9)] = 18π u³ 3

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Part 2: Find the error(s) and solve the problem correctly
Find the volume of a sphere with a radius of 3 units using the volume by disks
method.
x²
+ y² = 3²
y² = 6-x²
V =
y = √6-x²
= L₁₂π (√6 - x²) dx
-3
3
= πT
Π
-3
6x-x² dx
= π|6x
-
3
=π 6(3)-
= π[9 - (-9)]
= 18π u³
3
Transcribed Image Text:Part 2: Find the error(s) and solve the problem correctly Find the volume of a sphere with a radius of 3 units using the volume by disks method. x² + y² = 3² y² = 6-x² V = y = √6-x² = L₁₂π (√6 - x²) dx -3 3 = πT Π -3 6x-x² dx = π|6x - 3 =π 6(3)- = π[9 - (-9)] = 18π u³ 3
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