a sphere is inscribed in a rectangular solid 5cm in length, 4cm width, and 3cm in height. Another sphere of the same volume is also inscribed in a cube. Find the volume of the cube
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OpenStudy (anonymous):
v= l*w*h
OpenStudy (anonymous):
5*4*3=??
OpenStudy (anonymous):
60
OpenStudy (anonymous):
do 4/3 *1.5^3*pi. what do you get?
OpenStudy (anonymous):
14.14?
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OpenStudy (anonymous):
where did you get 1.5?
OpenStudy (anonymous):
half of the height of the rectangle, to make a radius
OpenStudy (anonymous):
the cube should be perfectly edged with the sphere. so from one side to the other of the cube, it would be 3. knowing a cube has all equal edges, all of them equal 3. so 3*3*3 would get you your answer
OpenStudy (anonymous):
rectangular solid is same with a cube?
OpenStudy (anonymous):
no. the rectangular solid has a different volume of the cube i believe
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OpenStudy (anonymous):
im still confused.
OpenStudy (anonymous):
dont worry, i kind of am too without a picture
OpenStudy (anonymous):
i dont understand :(
OpenStudy (anonymous):
id honestly have to see a picture to understand what the measurement of the radius is of the sphere
OpenStudy (anonymous):
there's no given picture
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