Explanation Given: Let V be the volume of a pyramid of height 20 whose base is a square of side 8 . Calculation: Figure: We can use similar triangles to find the side length, s of square at a height y , is; ⇒ 8 20 = s 20 − y ⇒ s = 8 20 ( 20 − y ) = 2 5 ( 20 − y ) To determine (b). Calculate volume V by integrating the cross sectional area.

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Question

Chapter 6.2, Problem 1E

To determine

(a).

Use similar triangles to find the area of horizontal cross section at a height $y$ .

To determine

(b).

Calculate volume $V$ by integrating the cross sectional area.

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Chapter 6.2, Problem 5PQ

Chapter 6.2, Problem 2E

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Chapter 6 Solutions

Calculus - Standalone book

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(a). Use similar triangles to find the area of horizontal cross section at a height y .