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(b) A circular cone, with base radius r and height h, has an inscribed unit sphere. Find the volume of the cone in terms of h.

(b) A circular cone, with base radius r and height h, has an inscribed unit sphere. Find the volume of the cone in terms of h.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 58E
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Part B

25. B (b) h E C Fig. 4 X In Fig. 4, ALBC has an inscribed unit eirele. ABAC, AD BC. E is the centre of the circle RE bisects ABC. Let AD A and BD. By using the formule of tan 20, 2,² -otherwise, prove that Hence deduce that 2 R-20cm-S D 2 P B h h-2 A circular cone, with base radius r and height h, has an inscribed unit sphere. Find the volume of the cone in terms of h.
Transcribed Image Text:25. B (b) h E C Fig. 4 X In Fig. 4, ALBC has an inscribed unit eirele. ABAC, AD BC. E is the centre of the circle RE bisects ABC. Let AD A and BD. By using the formule of tan 20, 2,² -otherwise, prove that Hence deduce that 2 R-20cm-S D 2 P B h h-2 A circular cone, with base radius r and height h, has an inscribed unit sphere. Find the volume of the cone in terms of h.
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