Question

The diameter of two spheres are in the ratio 3:5, then ration of their volumes is ____​

Answer 1

Answer:

27:125

Step-by-step explanation:

Ratio of the volume of two sphers is equal to ratio of cube of there radius

V1:V2=(r1)^3 :(r2)^3

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Answer 2

Answer:

27 : 125

Step-by-step explanation:

Diameter (d₁) = 3 ; radius (r₁) = 1.5

Diameter (d₂) = 5 ; radius (r₂ = 2.5)

Ratio of their volumes = V₁:V₂

                                     = 4πr₁³/3 : 4πr₂³/3

                                        (4π/3 will be cancelled out)

                                      = r₁³: r₂³

                                      = (1.5)³ : (2.5)³

                                      = 3.375 : 15.625

                                      = 27 : 125

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