Three solid spheres with radii of 33 cmcm, 44 cmcm and 55 cmcm, respectively, are melted to form a single solid sphere. Find the radius of the resulting sphere.
Radius =
cmcm
Answers
Answer:
65.99 cm
Step-by-step explanation:
Volume of bigger sphere=Sum of volume of 3 spheres
Volume of 1st sphere=4/3pir^3 cubic units
=4/3×22/7×33×33×33
=1,50,593.14 cubic cm
Volume of 2nd sphere=4/3pir^3 cubic units
=4/3×22/7×44×44×44
=3,56,961.52 cubic cm
Volume of 3rd sphere=4/3pir^3 cubic units
=4/3×22/7×55×55×55
=6,97,190.47 cubic cm
Sum of volume of 3 spheres=1,50,593.14 + 3,56,961.52 + 6,97,190.47
=12,04,745.13 cubic cm
Volume of bigger sphere=4/3pir^3 cubic units
=12,04,745.13 cubic cm
4/3×22/7×r^3=12,04,745.13
r^3=2,87,495.99
r=65.99 cm
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