The region bounded by the curve y = √x, the x-axis, and the line x = 4 is revolved about the x-axis to generate a solid. Find the volume of the solid. Setup the integral using the shell method. Revolving about x-axis. 16 V=R" (y (4- y²)) dy 0 ° Tf² (y (4 V=2n (y(4- y)) dy 16 V=2π = 2RS (y(4- y²)) dy 2 = √² (4√/T) ² dx V=2x*(y(4- y²)) dy V=2n

The region bounded by the curve y = √x, the x-axis, and the line x = 4 is revolved about the x-axis to generate a solid. Find the volume of the solid. Setup the integral using the shell method. Revolving about x-axis. 16 V=R" (y (4- y²)) dy 0 ° Tf² (y (4 V=2n (y(4- y)) dy 16 V=2π = 2RS (y(4- y²)) dy 2 = √² (4√/T) ² dx V=2x*(y(4- y²)) dy V=2n

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter8: Further Techniques And Applications Of Integration

Section8.3: Volume And Average Value

Problem 1YT: YOUR TURN Find the volume of the solid of revolution formed by rotating about the x-axis the region...

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