Read, analyze and solve for the following. Express your answers as decimals rounded off to two decimal places. For the volume, multiply it to the value of Pi (3.14) to get the final answer. Find the volume of the solid obtained by rotating the region bounded by y= x^2, y = 4 and the y - axis about the y-axis. Determine the volume of the solid obtained by rotating the region bounded by y= x - x^3, x = 0, x = 1 and the x - axis about the y-axis.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter8: Centroids And Distributed Loads
Section: Chapter Questions
Problem 8.87P: (a) Find the volume of liquid contained in the flask when it is filled to the full mark. (b)...
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Read, analyze and solve for the following. Express your answers as decimals rounded off to two decimal places. For the volume, multiply it to the value of Pi  (3.14) to get the final answer.

  1. Find the volume of the solid obtained by rotating the region bounded by y= x^2, y = 4 and the y - axis about the y-axis.
  2. Determine the volume of the solid obtained by rotating the region bounded by y= x - x^3, x = 0, x = 1 and the x - axis about the y-axis.
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