In Problems 6-10, let R be the region bounded by the semicircle x =√√4-y² and the y-axis. Each problem will describe the cross sections of a solid that are perpendicular to the y-axis. Write an integral expression that can be used to find the volume of the solid (do not evaluate). 6) The cross sections are squares with one edge in R. 7) The cross sections are circles with the diameter in R. 8) The cross sections are isosceles right triangles with one leg in R.

Elementary Geometry For College Students, 7e
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Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...
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Answer 6,7,and 8. and if possible all 5 questions

In Problems 6-10, let R be the region bounded by the semicircle x =√√4-y² and the y-axis. Each
problem will describe the cross sections of a solid that are perpendicular to the y-axis. Write an integral
expression that can be used to find the volume of the solid (do not evaluate).
6) The cross sections are squares with one edge in R.
7) The cross sections are circles with the diameter in R.
8) The cross sections are isosceles right triangles with one leg in R.
9) The cross sections are squares with the diagonal in R.
10) The cross sections are quarter circles with the radius in R.
Transcribed Image Text:In Problems 6-10, let R be the region bounded by the semicircle x =√√4-y² and the y-axis. Each problem will describe the cross sections of a solid that are perpendicular to the y-axis. Write an integral expression that can be used to find the volume of the solid (do not evaluate). 6) The cross sections are squares with one edge in R. 7) The cross sections are circles with the diameter in R. 8) The cross sections are isosceles right triangles with one leg in R. 9) The cross sections are squares with the diagonal in R. 10) The cross sections are quarter circles with the radius in R.
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