Question

The ratio of the volumes of two spheres is 8:125. What the ratio of their diameter ?
a. 4 : 62.5
b. 2 : 31.3
c. 5 : 4
d. 2 : 5

Answer 1

4/3 π r³ = volume of the sphere

8:125 let us assume the r to be the first and R to be the second

so 4/3 π r³ :4/3 π R³

r³:R³=8:125

(r:R)³:(2/5)³

r:R=2:5

d=2r by thses

d:D=2(2:5)

d:D=4:5