Question

metallic spheres of radius 4cm,6cm,8cm.respectivelyare melted to form a single solid sphere. find the radius of the resulting sphere

Answer 1

Answer:

radius of big sphere = ∛792

Step-by-step explanation:

given :- radius of sphere r 1= 4 cm , r 2=6 cm , r 3=8 cm

melted and form a single sphere of radius = R

volume of 3 sphere = volume of a sphere

4/3πr1^3 + 4/3πr2^3 + 4/3πr3^3 = 4/3πR^3

4/3π(r1^3 + r2^3 + r3^3) = 4/3πR^3

(r1^3 + r2^3 + r3^3) = R^3

4^3 + 6^3 + 8^3 = R^3

64 + 216 + 512 = R^3

792 = R^3

R^3 = 792

R = ∛792