For the following exercises, find the volume of the solid described. 109. The base is the region enclosed by the generic ellipse ( x 2 / a 2 ) + ( y 2 / b 2 ) = 1 . Slices perpendicular to the x-axis are semicircles.
For the following exercises, find the volume of the solid described. 109. The base is the region enclosed by the generic ellipse ( x 2 / a 2 ) + ( y 2 / b 2 ) = 1 . Slices perpendicular to the x-axis are semicircles.
To create an object to display at the Art Museum of Boston, Colleen creates a solid of revolution by taking
the region in the first quadrant between the parabola y = x², the x-axis, and the line x = 9 and
revolving this region around the x-axis.
The volume of Colleen's object is
Show or upload y
4
Q3: Find the volume of the solid enclosed by the parabola y = x2 + z? and the
cone y = 32 - x2 - z2.
The result of slicing through the center of the solid S is the base described by the ellipse
1. Cross
81
9
sections of S perpendicular to the x-axis and the elliptical base are circles. What is the volume of S? Enter your
answer in terms of r.
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Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY