Question

the volume of two spheres is 27:8. Find the ratio of their diameters with proper justification and please no USELESS ANSWERS at all.​

Answer 1

Answer:

Let the Volume of First Sphere = 4/3π(R1)³

Let the Volume of Second Sphere = 4/3π(R2)³

According to question :

4/3π(R1)³ / 4/3π(R2)³ = 27/8

(R1)³ / (R2)³ = 27/8

R1/R2 = 3/2

Ratio of Diameter :

2R1 / 2R2 = 2 × 3 / 2 × 2 [Diameter = 2R]

D1 / D2 = 6 : 4

Hence the Ratio is 6 : 4

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