53. Estimating Volume You can estimate the volume of a sphere by measuring its circumference with a tape measure, dividing by 27 to get the radius, then using the radius in the volume formula. Find how sensitive your volume estimate is to a 1/8 in. error in the circumference measurement by filling in the table below for spheres of the given sizes. Use differentials when filling in the last column. Sphere Type True Radius Tape Error Radius Error Volume Error Orange 2 in. 1/8 in. Melon 4 in. 1/8 in. Beach Ball 7 in. 1/8 in.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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53. Estimating Volume You can estimate the volume of a sphere
by measuring its circumference with a tape measure, dividing by
27 to get the radius, then using the radius in the volume
formula. Find how sensitive your volume estimate is to a 1/8 in.
error in the circumference measurement by filling in the table
below for spheres of the given sizes. Use differentials when
filling in the last column.
Sphere Type True Radius Tape Error Radius Error Volume Error
Orange
2 in.
1/8 in.
Melon
4 in.
1/8 in.
Beach Ball
7 in.
1/8 in.
Transcribed Image Text:53. Estimating Volume You can estimate the volume of a sphere by measuring its circumference with a tape measure, dividing by 27 to get the radius, then using the radius in the volume formula. Find how sensitive your volume estimate is to a 1/8 in. error in the circumference measurement by filling in the table below for spheres of the given sizes. Use differentials when filling in the last column. Sphere Type True Radius Tape Error Radius Error Volume Error Orange 2 in. 1/8 in. Melon 4 in. 1/8 in. Beach Ball 7 in. 1/8 in.
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