Question

The ratio of volume of two spiere is 1:27 teen the ratio of radii

Answer 1

Volume of a sphere = 4/3 × πr³

Let the radius of fist sphere be r and second be R

=> Volume of first = 4/3 × πr³

Volume of second = 4/3 × πR³

Their ratios are given

=> 4/3 × πr³ : 4/3 × π R³ :: 1 : 27

Product of extreme = Product of mean

= 27 × 4/3 πr³ = 4/3 πR³ × 1

cancelling 4/3 π from both sides,

=> 27 r³ = R³

=> R = cube root (27 r³)

=> R = 3r

=> r = R/3

So ratio of their radius = r/R

=> r/3r

=> 1/3

=> 1 : 3

Answer 2

The radio of the volume of two sphere is 27:8 find of their surface area