three solid sphere of iron whose diameter are 2cm,6cm ,12cm respectively are melted into sphere find the radius of new sphere
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Step-by-step explanation:
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 9cm.
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Answer:
Three solid spheres of iron whose diameters are 2 cm, 12 cm and 16 cm respectively are melted into a single solid sphere. Find the radius of the solid sphere. Let the radius of the solid sphere be R cm. Hence, the radius of the solid sphere is 9 cm.
Step-by-step explanation:
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