(3) A capsule made of two identical hemispheres of radius r cm, one at each end of a cylinder, is inscribed into a fixed cone of height 12cm and base radius 9cm. The two figures have a common axis of symmetry and the cross-section is shown below. (i) [2 marks] Show that the height of the cylinder, x cm, is related to the radius of the hemisphere through the equation, 8 x = 12 r. 3

(3) A capsule made of two identical hemispheres of radius r cm, one at each end of a cylinder, is inscribed into a fixed cone of height 12cm and base radius 9cm. The two figures have a common axis of symmetry and the cross-section is shown below. (i) [2 marks] Show that the height of the cylinder, x cm, is related to the radius of the hemisphere through the equation, 8 x = 12 r. 3

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.3: Hyperbolas

Problem 36E

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