Answered: A pyramid has a height of 488 ft and…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A) A pyramid has a height of 488 ft and its base covers an area of 10.0 acres. The volume of a pyramid is given by the expression: V=1/3Bh, where B is the area of the base and h is the height. Find the volume of the pyramid in cubic meters. (1 acre = 43,560ft^2).

B) What If? If the height of the pyramid were increased to 525 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the pyramid increase?

Expert Solution

Step 1

Volume of pyramid:

$V = \frac{1}{3} (a r e a o f b a s e \times h e i g h t) V = \frac{1}{3} (10 a c r e a) (\frac{43560 f t^{2}}{1 a c r e}) (488 f t) V = 70.85 \times 10^{- 7} f t^{3}$

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