(1) You are given a cylinder with true dimensions: h = 2.00 in and d = 1.50 in. Suppose you make a ±5% error (either increase of decrease) when measuring h. What percent error will this cause in calculating its volume? Justify your answer by calculations or by algebraic reasoning. (2) Suppose, with the same cylinder, you make a 5% error when measuring d. What percent error will this cause in calculating its volume? Justify your answer as before. (3) You are given a sphere of diameter D = 1.50 in. If you make a 5% error when measuring D, what percent error will this cause in the volume of the sphere?
(1) You are given a cylinder with true dimensions: h = 2.00 in and d = 1.50 in. Suppose you make a ±5% error (either increase of decrease) when measuring h. What percent error will this cause in calculating its volume? Justify your answer by calculations or by algebraic reasoning. (2) Suppose, with the same cylinder, you make a 5% error when measuring d. What percent error will this cause in calculating its volume? Justify your answer as before. (3) You are given a sphere of diameter D = 1.50 in. If you make a 5% error when measuring D, what percent error will this cause in the volume of the sphere?
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter1: Getting Started
Section: Chapter Questions
Problem 2PQ: If you live in the United States, you probably know your height in feet and inches. In other...
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