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
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
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa6e6d797-be57-49db-a0e8-e29654ed4a67%2F113ef3cf-0577-49cb-be42-91ef48d0b764%2Frqgsqns_processed.jpeg&w=3840&q=75)
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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