Question

Gerry has two porcelain spheres. The radii of the spheres are in a ratio of 3 : 5.

What is the ratio between the volumes of the two spheres?
Answer
3 : 5
27 : 50
27 : 125
81 : 125

Answer 1

volume= (4/3)(\[\pi r^{3}\])

so the ratio of volumes of spheres of radii r' and r'' with ratio of radii r':r''=3:5 will be (r')^3:(r'')^3

so ans is 3^3:5^3 = 27:125