Question

3 spheres of diameter 2,3and4 cms respectively formed into a single sphere.find the diameter of the new sphere a assuming that the volume of a sphere is proportional to the cube of its diameter​

Answer 1

Step-by-step explanation:

Let the radius of the new sphere be R cm.

Since it is formed from the given spheres,

Volume of the new sphere = Net volume of the smaller spheres.

Therefore,

(4/3)πR3 = (4/3)π(2)^3 + (4/3)π(3)^3 + (4/3)π(4)^3

=>R^3 = 8+27+64

=99

=>R=991/3

≈4.63

Diameter of the new sphere = (2 x 4.63) cm = 9.26 cm.

Answer 2

Answer:

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Step-by-step explanation:

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