Question

Given two spheres, if the volume of the first sphere is and the volume of the second sphere is 36 , which is the relation of the second radius to the first?

Answer 1

first sphere is 4/3 * pi and the second is 36* pi

Answer 2

well they are similar shapes so the volumes are in ratio...

if the know the ratio of the radii e.g a/b

then the ratio of the volumes is (a/b)^3

Answer 3

does the ^3 mean it is tripled?

Answer 4

@50sprincess

(a/b)^3 means the cube of a/b ---> a/b * a/b * a/b

Answer 5

For two spheres, the cube of the ratio of the radii of the spheres is equal to the ratio of the volumes of the spheres. This is because all spheres are similar.

Take ( 4/3 * pi ) / 36* pi and simplify.

The pi s divide out. Then, simplify (4/3 )/ 36

Take the cube root of the result.

That is the ratio of the radius of the 1st sphere to that of the 2nd sphere.

Because the question is this: ----> which is the relation of the second radius to the first, then you will need to invert the ratio you get to arrive at the final answer.

@50sprincess