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The volume V of an ice cream cone is given by where R is the common radius of the spherical cap and the cone, and h is the height of the cone. Use linearization to estimate the change in the volume when R changes from R = 1.5 inches to R = 1.7 inches, and h changes from h = 4 inches to h = 4.1 inches. Give your answer to two decimal places. R h 6.20 x in3

The volume V of an ice cream cone is given by where R is the common radius of the spherical cap and the cone, and h is the height of the cone. Use linearization to estimate the change in the volume when R changes from R = 1.5 inches to R = 1.7 inches, and h changes from h = 4 inches to h = 4.1 inches. Give your answer to two decimal places. R h 6.20 x in3

Calculus: Early Transcendentals
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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Question
**Volume of an Ice Cream Cone** The volume \( V \) of an ice cream cone is given by the formula: \[ V = \frac{2}{3} \pi R^3 + \frac{1}{3} \pi R^2 h \] where \( R \) is the common radius of the spherical cap and the cone, and \( h \) is the height of the cone. ### Task Use linearization to estimate the change in the volume when \( R \) changes from \( R = 1.5 \) inches to \( R = 1.7 \) inches, and \( h \) changes from \( h = 4 \) inches to \( h = 4.1 \) inches. Give your answer to two decimal places. ### Diagram The image includes a diagram of an ice cream cone illustrating the dimensions: - \( R \): radius of the spherical cap and cone. - \( h \): height of the cone. ### Solution After calculations, the estimated change in volume is displayed as: \[ 6.20 \, \text{in}^3 \]
Transcribed Image Text:**Volume of an Ice Cream Cone** The volume \( V \) of an ice cream cone is given by the formula: \[ V = \frac{2}{3} \pi R^3 + \frac{1}{3} \pi R^2 h \] where \( R \) is the common radius of the spherical cap and the cone, and \( h \) is the height of the cone. ### Task Use linearization to estimate the change in the volume when \( R \) changes from \( R = 1.5 \) inches to \( R = 1.7 \) inches, and \( h \) changes from \( h = 4 \) inches to \( h = 4.1 \) inches. Give your answer to two decimal places. ### Diagram The image includes a diagram of an ice cream cone illustrating the dimensions: - \( R \): radius of the spherical cap and cone. - \( h \): height of the cone. ### Solution After calculations, the estimated change in volume is displayed as: \[ 6.20 \, \text{in}^3 \]
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