1. Volume of a hemisphere Derive the formula V = (2/3)™R³ for the volume of a hemisphere of radius R by comparing its cross- sections with the cross-sections of a solid right circular cylinder of radius R and height R from which a solid right circular cone of base radius R and height R has been removed, as suggested by the accompanying figure. VR? – h? R

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 34E
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1. Volume of a hemisphere Derive the formula V = (2/3)™R³ for
the volume of a hemisphere of radius R by comparing its cross-
sections with the cross-sections of a solid right circular cylinder
of radius R and height R from which a solid right circular cone of
base radius R and height R has been removed, as suggested by the
accompanying figure.
VR? – h?
R
Transcribed Image Text:1. Volume of a hemisphere Derive the formula V = (2/3)™R³ for the volume of a hemisphere of radius R by comparing its cross- sections with the cross-sections of a solid right circular cylinder of radius R and height R from which a solid right circular cone of base radius R and height R has been removed, as suggested by the accompanying figure. VR? – h? R
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