I kept getting an answer that doesn't make sense. Please help. ?? **Problem Statement:**Find the volume formed by rotating the region enclosed by the given equations about the $y$-axis:1. $x = 6.9y$2. $y^3 = x$with the condition $y \geq 0$.**Explanation:**In this problem, you are required to calculate the volume of the solid generated by rotating the region between the curves $x = 6.9y$ and $y^3 = x$ around the $y$-axis. The condition $y \geq 0$ restricts the region to the non-negative $y$-values, ensuring the rotation forms a valid solid of revolution.

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Math

Calculus

Find the volume formed by rotating the region enclosed by: 3 6.9y and y = x with y ≥ 0 X = about the y-axis

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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Question

I kept getting an answer that doesn't make sense. Please help. ??

**Problem Statement:**

Find the volume formed by rotating the region enclosed by the given equations about the $y$-axis:

1. $x = 6.9y$
2. $y^3 = x$

with the condition $y \geq 0$.

**Explanation:**

In this problem, you are required to calculate the volume of the solid generated by rotating the region between the curves $x = 6.9y$ and $y^3 = x$ around the $y$-axis. The condition $y \geq 0$ restricts the region to the non-negative $y$-values, ensuring the rotation forms a valid solid of revolution.

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