I have a box that is 3m by 7m by 7m. What is the largest hemisphere I could "carve" out of this box?

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I have a box that is 3m by 7m by 7m. What is the largest hemisphere I could "carve" out of this box?

Mathematics
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you mean like you have a block of clay 3x7x7 and want to make a hemisphere?
I think thats what he means. Just use the length of 3m as the diameter
does the hemisphere have to be .... half a circle or can it be more like parabaloid?

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and what measure is meant by largest?
volume? height? diameter? etc..
It is a question from my geometry book and it says book. and it asks what is the largest hemisphere I can make out of the box. And it refers to Volume
my intuition says that it would have a radius or 3 and span 6 at its widest part
nope radius is 3/2 diameter is 3
thank you
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I realized how simple that question really is :P
go with r = 3 m
why would you use r=3?
Because if you cut out the hemisphere with radius 3m then it will use all of the vertical height possible.

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