A wedge is cut out of a circular cylinder of radius 14 by two planes. One plane is perpendicular to the axis of the cylinder. The other intersects the first at an angle of 30° along a diameter of the cylinder. Find the volume V of the wedge, taking rectangular cross-sections to be parallel to the line of intersection of the two planes, which is the x-axis. (Letr = 14.) V =

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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A wedge is cut out of a circular cylinder of radius 14 by two planes. One plane is perpendicular to the axis of the cylinder. The other intersects the first at an angle of 30° along a diameter of the
cylinder. Find the volume V of the wedge, taking rectangular cross-sections to be parallel to the line of intersection of the two planes, which is the x-axis. (Let r = 14.)
V =
В
30°
A
y
B
Transcribed Image Text:A wedge is cut out of a circular cylinder of radius 14 by two planes. One plane is perpendicular to the axis of the cylinder. The other intersects the first at an angle of 30° along a diameter of the cylinder. Find the volume V of the wedge, taking rectangular cross-sections to be parallel to the line of intersection of the two planes, which is the x-axis. (Let r = 14.) V = В 30° A y B
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