Melting Iceberg Question

[JJ888]

Assume that the iceberg is a sphere of volume 1331000m^3 which melts uniformly so that dr/dn = -1, where r metres is the radius of the sphere. I have found the radius to two decimal places which is 68.24. Just not sure how to find the expression if anyone can help.

Find an expression for V, the volume of the iceberg after n days?

 

[mmm4444bot]

Hello. Please quote the entire exercise statement, as it was provided to you. Thank you!

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[JJ888]

Hello. Please quote the entire exercise statement, as it was provided to you. Thank you!

Posting Guidelines (Summary)

Welcome to our tutoring boards! :) This page summarizes the main points from our posting guidelines. As our name implies, we provide math help (primarily to students with homework). We do not generally post immediate answers or step-by-step solutions. We don't do your homework. We prefer to...

www.freemathhelp.com

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'Assume that the iceberg is a sphere of volume 1331000m³ which melts uniformly so that dr/dn = -1, where r metres is the radius of the sphere. Find an expression for V, the volume of the iceberg after n days.'

 

[tri]

A similar question has been answered already:

https://www.toppr.com/ask/question/a-spherical-ball-of-ice-melts-uniformly-when-the-radius/

 

[Deleted member 4993]

'Assume that the iceberg is a sphere of volume 1331000m³ which melts uniformly so that dr/dn = -1, where r metres is the radius of the sphere. Find an expression for V, the volume of the iceberg after n days.'

You are not showing any work

Start with "sketching" two spheres. One with radius 'r' and second (uniformly melted and smaller) with radius 'r - \(\displaystyle \delta r' \)

What are their respective volumes?​