4) The base of a solid is the region in the first quadrant bounded by the x- and y-axes and the graph of y = 2(z+1)° (x–2)² For the solid, each cross section perpendicular to the r-axis is a rectangle whose height is three times its width in the ry-plane. What is the volume of the solid? 0.335 B 1.004 2.831 (D 3.012

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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The base of a solid is the region in the first quadrant bounded by the x-and y-axes and 
the graph of y=((x-2)^2)/(2(x+1)).For the solid,each crosssection perpendicular to the x-axis 
is a rectangle whose height is three times its width in the xy-pane. What is the Volume
of the solid?

The base of a solid is the region in the first quadrant bounded by the x- and y-axes and
(x-2)
the graph of y =
2(x+1)
For the solid, each cross section perpendicular to the x-axis
is a rectangle whose height is three times its width in the ry-plane. What is the volume
of the solid?
0.335
1.004
2.831
3.012
Transcribed Image Text:The base of a solid is the region in the first quadrant bounded by the x- and y-axes and (x-2) the graph of y = 2(x+1) For the solid, each cross section perpendicular to the x-axis is a rectangle whose height is three times its width in the ry-plane. What is the volume of the solid? 0.335 1.004 2.831 3.012
Expert Solution
Step 1

Volume of the solid from x=a to x=b  with known cross section perpendicular to x-axis given by A(x)

Can be  given by V=abA(x) dx

 

 

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