If the ratio of radius of two spheres is2:3 what is the ratio of their volumes

Step-by-step explanation:

Let v1 represent the volume of the first sphere

and r1 represent the radius of the first sphere

Let V2 represent the volume of the second sphere

and r2 represent the radius of the second sphere

“the ratio of radius of two spheres is2:3” means r1 = (2/3)r2

V1 = (4/3)π(r1)³ = (4/3)π(2/3×r2)³ = (4/3)π(8/27)(r2)³ = (8/27)(4/3)π(r2)³= (8/27)V2

then the ratio of V1 to V2 is 8 to 27

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