**Problem Description:**The circumference of a sphere was measured to be 72 cm with a possible error of 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area.**Response:**First Attempt: \[\frac{70}{\pi} \text{ cm}^2 \]**Note:** This attempt is marked incorrect with the comment "syntax incomplete."**Next Task:**Estimate the relative error in the calculated surface area.**Second Attempt:**\[\frac{1}{70}\]**Note:** This attempt is also marked incorrect.---The problem involves using linear approximation to estimate errors associated with measurements and calculations of surface area based on a sphere's circumference. The initial answer given is incorrect due to syntax issues, and the subsequent calculation for relative error is also not accepted.

Given Circumference of a sphere= 72 cm Maximum error = 0.5 cm

The circumference of a sphere was measured to be 72 cm with a possible error of 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area. 70 ㅠ -12 2 70 cm² Estimate the relative error in the calculated surface area. X syntax incomplete. X

The circumference of a sphere was measured to be 72 cm with a possible error of 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area. 70 ㅠ -12 2 70 cm² Estimate the relative error in the calculated surface area. X syntax incomplete. X

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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Concept explainers

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

**Problem Description:**

The circumference of a sphere was measured to be 72 cm with a possible error of 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area.

**Response:**

First Attempt:
\[
\frac{70}{\pi} \text{ cm}^2
\]
**Note:** This attempt is marked incorrect with the comment "syntax incomplete."

**Next Task:**

Estimate the relative error in the calculated surface area.

**Second Attempt:**
\[
\frac{1}{70}
\]
**Note:** This attempt is also marked incorrect.

---

The problem involves using linear approximation to estimate errors associated with measurements and calculations of surface area based on a sphere's circumference. The initial answer given is incorrect due to syntax issues, and the subsequent calculation for relative error is also not accepted.

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