14. How many spheres of equal radii may be formed by melting a big sphere such that the radius
of a smaller sphere is 1/8 of the radius of the original sphere?
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Answer: the answer is
Take a sphere, radius is 'r'
New radius 'R'
According to the question, 1/8×R=r or r×8=R
Step-by-step explanation:
Volume of the first small sphere= 4/3πr^3
Volume of new sphere is 4/3πr^3×8 (r×8=R)
Therefore the number of spheres needed are
4/3πr^3×8 / 4/3πr^3= 8
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