Question

If the volume of a sphere is double that of the other , then the ratio of their radii is ​

Answer 1

Answer:

Given that,

Volume of first sphere is double that of the 2nd sphere.

The formula for volume of sphere is 4π$r^{2}$

Now, we can name the radius of first sphere as R1 and second sphere as R2.

The volume of first sphere can be taken as V1 and second volume as V2.

As per the questions,

V1 = 2 times V2

V1 = 2x V2

4π$r1^{2}$= 2 ( 4π x $r2^{2}$)

4π$r1^{2}$ = 8π x 2$r2^{2}$

Cutting the common terms and simplifying, we get:-

1 R1= 4 R2

So the ratio of their radii are

1:4