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Radius of sphere for identical mass for different densities

작성자 Uploader : 너구리 작성일 Upload Date: 2018-08-16변경일 Update Date: 2018-08-17조회수 View : 321

Volume of a sphere having its radius of r, V = (4/3)*πr^3.

Letting the density and radius of Material 1 sphere as ρ1 and r1 respectively, its mass M1 is:

M1 = ρ1(4/3)*πr1^3

Letting the density and mass of Material 2 sphere as ρ2 and M2(=M1) respectively, its volume V2 is:

V2 = M1/ρ2 = ρ1/ρ2 (4/3)*πr1^3     = (4/3)*πr2^3

Thus, r2 is:

r2 = r1*(ρ1/ρ2)^(1/3)

*** 참고문헌[References] ***

r2 = r1*(ρ1/ρ2)^(1/3)
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