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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?

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
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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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.
Transcribed Image Text: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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