If the radius of the sphere is increased by 100%,the volume of corresponding sphere is increased by 700% .Find true or false.Justify Your answer
If the radius of the sphere is increased by 100%,the volume of corresponding sphere is increased by 700% .Find true or false.Justify Your answer
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Sphere volume formula isSo V is directly proportional to CUBE of radius.
so,
new radius is r + 100%r = r+r = 2r
and new Volume given is V+ 700%V = 8V
Now lets see if 2r gives volume 8V....
So V2 = 8V as expected.
hence the statement is true :)
Answer: The statement is true
Step-by-step explanation:
Volume of sphere=4/3πr^3
When radius is increased by 100% then r= r+100%r
= r+r =2r
New volume = (2r) ^3
= 8r^3
So therefore when radius is increased by 100% the volume will increase by 800%