Question

if the ratio of volumes of two sphere is 64:27 then find the ratio of their radii

Answer 1

Let volume of sphere 1 = 4/3 × π × (r1)³
Vol of sphere 2 = 4/3 ×π × (r2)³

Vol of sphere 1/ vol of sphere 2 = (r1)³/(r2)³ = 64/27  (4/3 ×π will get cancelled)
                                                 
                                                  = r1/r2 =∛(64/27) = 4/3

∴ They are in the 4:3 ratio.

I hope my answer is clear. if s pls make it the brainiest.

Answer 2

Volume of a sphere = 4/3 π r^3. Constant value 4/3 π remove it. So, R^3:r^3=64:27. R:r=4:3