A slide in a machine is to run on rolling balls. The balls run in grooves with straight sides as shown. The angle of the upper (moving) groove is 120°, and that of the lower (fixed) groove is 90°. What size balls should be used? Solve using solid geometry. surmounted by a hollow right circularangent to the sphere, and the base of thehe vertex of the cone is distant R frombe volume common to the sphere andcone.ha radius of a sphere. If the radius ofE portion of the cube which lies cutsideight circular cylinder of altitude 8 in.eter 12 in.on rollingaight sidesng) grooveove is 90°.120It has fornd for its06atio (a) ofea of thehe volume of the sphere.in a circular. hole of radius 5.13 in.the sphere extend?s with the axis of a right circular cone,surface of the sphere in a great circle.E (b) the volume of the cone; (c) theofof the cone

Three-dimensional shapes are the focus of solid geometry. Cubes, rectangular solids, prisms,…

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Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A slide in a machine is to run on rolling balls. The balls run in grooves with straight sides as shown. The angle of the upper (moving) groove is 120°, and that of the lower (fixed) groove is 90°. What size balls should be used? Solve using solid geometry.

surmounted by a hollow right circular
angent to the sphere, and the base of the
he vertex of the cone is distant R from
be volume common to the sphere and
cone.
ha radius of a sphere. If the radius of
E portion of the cube which lies cutside
ight circular cylinder of altitude 8 in.
eter 12 in.
on rolling
aight sides
ng) groove
ove is 90°.
120
It has for
nd for its
06
atio (a) of
ea of the
he volume of the sphere.
in a circular. hole of radius 5.13 in.
the sphere extend?
s with the axis of a right circular cone,
surface of the sphere in a great circle.
E (b) the volume of the cone; (c) the
of
of the cone

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