(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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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