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(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?

College Physics
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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(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?
Transcribed Image Text:(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?
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