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Into a right circular cone, whose base diameter is 24 cm and the slant height is 20 cm, is inscribed a sphere S₁. In the space inside the cone between sphere S₁ and the apex of the cone a smaller sphere S2 is inscribed. Determine the volume of the sphere S2. A B C D 2.37 cm³ 3.47 cm³ 4.57 cm³ 5.67 cm³

Into a right circular cone, whose base diameter is 24 cm and the slant height is 20 cm, is inscribed a sphere S₁. In the space inside the cone between sphere S₁ and the apex of the cone a smaller sphere S2 is inscribed. Determine the volume of the sphere S2. A B C D 2.37 cm³ 3.47 cm³ 4.57 cm³ 5.67 cm³

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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Into a right circular cone, whose base diameter is 24 cm and the slant height is 20 cm, is inscribed a sphere S₁. In the space inside the cone between sphere S₁ and the apex of the cone a smaller sphere S2 is inscribed. Determine the volume of the sphere S2. A B 2.37 cm³ 3.47 cm³ 4.57 cm³ 5.67 cm³
Transcribed Image Text:Into a right circular cone, whose base diameter is 24 cm and the slant height is 20 cm, is inscribed a sphere S₁. In the space inside the cone between sphere S₁ and the apex of the cone a smaller sphere S2 is inscribed. Determine the volume of the sphere S2. A B 2.37 cm³ 3.47 cm³ 4.57 cm³ 5.67 cm³
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