CBSE Class 9 Answered
Three spheres of radii 3 cm, 4 cm and 5 cm are melted together to form a single sphere. Find the radius of new sphere.
Asked by Topperlearning User | 07 Apr, 2014, 09:38: AM
Expert Answer
Let R be the radius of the new sphere.
Volume of new sphere = sum of volumes of three spheres
= (3 cm)3 + (4 cm)3 + (5 cm)3
= 27 cm3 + 64 cm3 + 125 cm3
= 216 cm3
= (6 cm)3
R = 6 cm
Thus, the radius of the new sphere is 6 cm.
Answered by | 07 Apr, 2014, 11:38: AM
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