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Nady [450]
3 years ago
13

a sphere fits snugly inside a 6-in. cube as shown. what is the volume of the region inside the cube but outside the sphere

Mathematics
1 answer:
expeople1 [14]3 years ago
6 0
Assuming that means the diameter is 6in

so then

vsphere=(4/3)pir^3
r=d/2
d=6
6/2=3=r

vcube-vsphere=space
vcube=side^3=6^3=216
vsphere=(4/3)pi3^3=36pi=113.093755

space=216-113.083755=102.9026644707 cubic inches of empty space
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