SOLID MENSURATION1. The diameter of a sphere and the base of a cone are equal. What percentage of that diameter must the cone'sheight be so that both volumes are equal?2. The volume of the regular pyramid whose base is a regular hexagon is 156cu.m. If the altitude of the pyramid is 5m,find the sides of the bases.3. Three spheres of radii 1,2, and 3 inches, respectively are melted and formed into new sphere. Find the radius of thisnew sphere.4. The sides of a triangle are 12, 17, and 25 units. If each side is tripled, what will be the area of the triangle?5. Each angle of a regular dodecagon is equal todegrees.

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1. The diameter of a sphere and the base of a cone are equal. What percentage of that diameter must the cone's height be so that both volumes are equal?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

SOLID MENSURATION
1. The diameter of a sphere and the base of a cone are equal. What percentage of that diameter must the cone's
height be so that both volumes are equal?
2. The volume of the regular pyramid whose base is a regular hexagon is 156cu.m. If the altitude of the pyramid is 5m,
find the sides of the bases.
3. Three spheres of radii 1,2, and 3 inches, respectively are melted and formed into new sphere. Find the radius of this
new sphere.
4. The sides of a triangle are 12, 17, and 25 units. If each side is tripled, what will be the area of the triangle?
5. Each angle of a regular dodecagon is equal to
degrees.

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