Let R be the region in the first quadrant bounded by the graph of y = -x² + 4 and the x-axis. R is the base of a solid whose cross sections perpendicular to the x-axis are semicircles. What is the volume of the solid? 256π 15 о 16π 3 о 32π 15 2π 53 о

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 25E
Question
Let R be the region in the first quadrant bounded by the graph of y = -x² + 4 and the x-axis. R is the base of a solid whose cross sections perpendicular to the x-axis are semicircles. What is the volume of the solid?
256π
15
о
16π
3
о
32π
15
2π
53
о
Transcribed Image Text:Let R be the region in the first quadrant bounded by the graph of y = -x² + 4 and the x-axis. R is the base of a solid whose cross sections perpendicular to the x-axis are semicircles. What is the volume of the solid? 256π 15 о 16π 3 о 32π 15 2π 53 о
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