Mathematics
Grade9
Easy
Question
The ratio of the volume of two spheres is 8 : 64. Find the ratio of their radii.
- 1 : 2
- 4 : 9
- 3 : 4
- 64 : 729
Hint:
Use the formula of volume of sphere.
The correct answer is: 1 : 2
Given that, the ratio of the volume of two spheres is 8 : 64.
As we know the volume of a sphere is given by the formula
V = 
Where
V = volume of sphere
r = radius of a sphere
We have to find the ratio of their radii.
Let V1 be the volume of one sphere and V2 be the volume of another sphere.
Let r1 and r2 be the radius of spheres respectively.
Now the ratio of volume of spheres is calculated by formula
By comparing the values on both sides, we get the ratio of radii of two spheres.
Hence the ratio of radii of two spheres is 1:2.
So the correct option is c.
