Find the volume of the wedge cut from a right circular cylinder of radius 8 inches by two planes – one perpendicular to the axis of the cylinder and the other intersecting the first plane at a 45° angle along a diameter of the circular cross section made by the first plane.

Find the volume of the wedge cut from a right circular cylinder of radius 8 inches by two planes – one perpendicular to the axis of the cylinder and the other intersecting the first plane at a 45° angle along a diameter of the circular cross section made by the first plane.

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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Question

Geometric Application of Integrals

Find the volume of the wedge cut from a right circular cylinder of radius 8 inches by two planes – one
perpendicular to the axis of the cylinder and the other intersecting the first plane at a 45° angle along a
diameter of the circular cross section made by the first plane.

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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