When the radius of a sphere is doubled the volume of the sphere becomes
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if the radius of a sphere is double the volume of the sphere it become 8 times
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Answer:
8 times
When the radius of sphere is doubled its volume gets increased 8 times.
Step-by-step explanation:
Let the radius of sphere be 'r'. Then,
We know that,
Volume of sphere = 4π(r)^3
Now,
When radius is doubled,
r = 2r
Volume of new sphere = 4π(2r)^3
Volume of new sphere = 4π8(r)^3
Volume of new sphere = 8(4π(r)^3)
This, can be also written as :
Volume of sphere with doubled radius = 8(Volume of original sphere)
Hence, when the radius of sphere is doubled its volume gets increased 8 times.
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