Question

Greg has two porcelain spheres. The radii of the spheres are in a ratio of 3 : 4.

What is the ratio between the volumes of the two spheres?

9 : 16

27 : 64

9 : 64

27 : 32

Answer 1

@FilthyMcNasty @Jamierox4ev3r

Answer 2

Volume of sphere is (4/3) pi r^2

let radii be 3x and 4x

so it gives
(4/3)pi (3x)^2 : (4/3)pi (4x)^2
cancelling out (4/3)pi from both sides leaves
(3x)^2 : (4x)^2
9x^2 : 16x^2
cancelling out x^2 from both sides leaves
9 : 16

Answer 3

Thank you.(: