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

Question

amistre64 · Answer

you mean like you have a block of clay 3x7x7 and want to make a hemisphere?

anonymous · Answer

I think thats what he means. Just use the length of 3m as the diameter

amistre64 · Answer

does the hemisphere have to be .... half a circle or can it be more like parabaloid?

amistre64 · Answer

and what measure is meant by largest?

amistre64 · Answer

volume? height? diameter? etc..

anonymous · Answer

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

amistre64 · Answer

my intuition says that it would have a radius or 3 and span 6 at its widest part

anonymous · Answer

nope radius is 3/2 
diameter is 3

anonymous · Answer

thank you

amistre64 · Answer

attachment

anonymous · Answer

I realized how simple that question really is :P

anonymous · Answer

go with r = 3 m

anonymous · Answer

why would you use r=3?

anonymous · Answer

Because if you cut out the hemisphere with radius 3m then it will use all of the vertical height possible.