Question

24) Three solid spheres of iron whose diameters are 2cm, 12cm and 16cm respectively are melted Into sphere. Find the radius of the ne
sphere
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Answer 1

Answer:

Diameter of three solid spheres = 2cm , 12cm , 16cm

so, Radius of three solid sphere = 1cm , 6cm , 8cm

Radius of solid spheres = ??

Volume of three solid sphere of iron= V.O.Solid sphere

4/3 pi r^3 + 4/3 pir^3 + 4/ 3 pir^3 = 4/ 3 piR^3

4/3pi ( 1^3 + 6^3 + 8^3) = 4/ 3 piR^3

1 + 216 + 512 = R^3

729 = R^3

R = 9 cm

SO , RADIUS OF SOLID SPHERE IS 9 cm...............

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