Question

Metallic spheres of radius 6 cm., 8 cm. and 10 cm. respectively are melted to form a single solid sphere.
Find the radius of the radius of the resulting sphere.​

Answer 1

12 centimeter .

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Answer 2

Answer:

radius of the resulting sphere is 12 cm

Step-by-step explanation:

given,

radius of first sphere = 6cm

radius of the second sphere = 8cm

radius of the third sphere = 10cm

now we have to find volume of each sphere

vol. of first sphere is 4/3×π×6^3

vol. of second sphere is 4/3×π×8^3

vol. of third sphere is 4/3×π×10^3

adding all and taking 4/3×π as common, we get

= 4/3×π×(6^3+8^3+10^3)

make that equal to the volume of resultant sphere

let the radius of resulting sphere is x

4/3×π×x^3= 4/3×π×(6^3+8^3+10^3)

x^3 = 1728

x=12