(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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(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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