Question

The ratio of the volumes of two spheres is 27ratio 64 .If the sum of the radii are 28cm what is the radius of each of the respectively.

Answer 1

Sum of the radii of both spheres = 28 cm

=> 27x + 64x = 28

=> 91x = 28

So,

x = 28/91

=> x = 4/13

NOW,

Radius of first sphere = 27 × 4/13

=> 8.3 cm ... .......★ANS 1★

Radius of bigger sphere = 64 × 4/13

=> 19.7 cm .............★ANS 2★

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Answer 2

ratio of their volume=27/64
so ratio of their radii =3/4
A/Q 3x+4x=28
x=4
so r=13
R=16