(a) A pyramid has a height of 470 ft and its base covers an area of 14.0 acres (see figure below). The volume of a pyramid is given by the expression V =Bh, where B is the area of the base and h is the height. Find the volume of this pyramid in cubic meters. (1 acre = 43,560 ft2) m3 (b) What If? If the height of the pyramid were increased to 510 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the pyramid increase?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 6P: Figure P1.6 shows a frustum of a cone. Match each of the three expressions (a) (r1 + r2)[h2 + (r2 ...
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(a) A pyramid has a height of 470 ft and its base covers an area of 14.0 acres (see figure below). The volume of a pyramid is given by the expression
V =
where B is the area of the base and h is the height. Find the volume of this pyramid in cubic meters. (1 acre = 43,560 ft2)
m3
(b) What If? If the height of the pyramid were increased to 510 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the pyramid increase?
%
Transcribed Image Text:(a) A pyramid has a height of 470 ft and its base covers an area of 14.0 acres (see figure below). The volume of a pyramid is given by the expression V = where B is the area of the base and h is the height. Find the volume of this pyramid in cubic meters. (1 acre = 43,560 ft2) m3 (b) What If? If the height of the pyramid were increased to 510 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the pyramid increase? %
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