Use cylindrical shells to find the volume of the solid formed by rotating the area between the graph of 9 x = y³ and x = Volume = f(y) = 0,0 ≤ y ≤ 1 about the x-axis. 1 [ f(y)dy where, 0 What is the volume? 16π 25 OF

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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Please solve the following. I already tried f(y) = y^9/8 and it was wrong. Please help solve the first part.

Use cylindrical shells to find the volume of the solid formed by rotating the area between the graph of
= 0,0 ≤ y ≤ 1 about the x-axis.
9
x = ys and x =
Volume =
f(y) =
1
[ f(y)dy where,
0
What is the volume?
16π
25
8
Transcribed Image Text:Use cylindrical shells to find the volume of the solid formed by rotating the area between the graph of = 0,0 ≤ y ≤ 1 about the x-axis. 9 x = ys and x = Volume = f(y) = 1 [ f(y)dy where, 0 What is the volume? 16π 25 8
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