Question

The ratio of the radii of two spheres is 4:3 what is the ratio of their volume?

Answer 1

Let the radius of one sphere be 4r then radius of another =3r
Required ratio =4/3π×64r^3/(4/3π×27r^3)=64/27

Answer 2

Hello!

Your Answer:

Let the two radii be 3x and 4x


Then, 

Volume of the first sphere = 
.

=
.


=
.


Volume of the second sphere = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi (4x)^{3}34​πr3=34​π(4x)3 

Ratio of the two volumes = \begin{lgathered}\frac{4}{3} \pi (3x)^{3} : \frac{4}{3} \pi (4x)^{3} \\ \\ 3^{3} : 4^{3} \\ \\ 27 : 64\end{lgathered}34​π(3x)3:34​π(4x)333:4327:64​