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The homework grader is wrong?

 
 
MurenJimmy的头像
The homework grader is wrong?
MurenJimmy - 2017年11月14日 Tuesday 00:11
 

For one of my questions "Suppose we have ball with radius 6. Suppose you cut the ball in half. What is the volume of the half ball? Use 3.14 for pi and round your answer to the nearest tenth if necessary. The grader said I was wrong with the answer of 452.2, but then provided me with this solution:

First note that the full ball has volume

43π×63=228π.43π×63=228π.
The half-ball has half the volume of the full ball, so the volume is
228π÷2=114π358.228π÷2=114π≈358.

The correct answer is: 358
That clearly cannot be correct because 

6^3 is 216 

216(4/3) = 288

and 288/2 = 144

so the answer should be 144(3.14) = 452.16 rounded up to 452.2 right?

 
LensmireJohn的头像
Re: The homework grader is wrong?
LensmireJohn - 2017年11月14日 Tuesday 09:43
 

Hi Jimmy,

Thanks for pointing this out. Fixed and updated.