Question

a metallic sphere with radius 21 cm is melted and a wire with diameter 2 centimetre is prepared find the length of the wire in metres

Answer 1

Radius of sphere = 21 cm
Volume of sphere = 4 pi *r^3 /3
= 4 *22 * 21*21 *21 /7*3
= 88 *21*21*21/21
= 88* 21* 21
= 38808

Now,
Let the length of wire be h
Diameter of wire = 2cm
Radius of wire = 1 cm
Volume of wire= Volume of sphere
pi * r^2 * h = 38808
=> 22*1*h/7 = 38808
=> 22h = 38808 * 7
=> h = 1764 * 7
=> h = 12348 cm

Length of wire = 12348 cm
= 123.48 m

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Answer 2

Volume of sphare = volume of wire (cylinder)
4/3πr cube = πr square h
length of wire (h) = 4*r/3*r square
= 4*21*21*21/3*1 = 12348 cm
or 12348/100 = 123.48 m