Question

the ratio of radii of two spheres is 4:3. what is the ratio of their volumes

Answer 1

Your Answer:

Let the two radii be 3x and 4x

Then,

Volume of the first sphere = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi (3x)^{3}

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

Ratio of the two volumes = \frac{4}{3} \pi (3x)^{3} : \frac{4}{3} \pi (4x)^{3} \\ \\ 

 3^{3} : 4^{3} \\ \\ 

27 : 64

I hope it helps you.

Answer 2

Step-by-step explanation:

given radii of two spheres is 4:3