The ratio of volumes of cube and sphere is 6 / π. Find the ratio of side of cube and radius of sphere.
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Answer:
2:1
Step-by-step explanation:
Given ratio of volumes of cube and sphere =6/π
we know that Volume of cube=a³
Volume of sphere =4πr³/3
ratio of volumes of cube and sphere by formula=3a³÷4πr³
6/π=3a³÷4πr³
a³/r³=8
(a/r)³=2³
a/r=2
a:r=2:1
⇒The ratio of side of cube and sphere is 2:1
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