Question

If a cylinder of radius 3 cm and height 10 cm is melted and recasted into the shape of small spheres of diameter 1 cm the. The no of spheres so formed is

Answer 1

Answer:

here

volume of cylinder=volume of sphere

πr`2h=4/3πr`3

Volume Of cylinder = πR²H

R = Radius of Cylinder = 3 cm

H = Height of cylinder = 10 cm

Volume of Cylinder = π * 3² * 10  = 90π cm³

Volume Of Sphere = (4/3) πR³

R = Radius of Sphere = Diameter/2 = 1/2 cm

Volume Of Sphere = (4/3)π (1/2)³   = π/6  cm³

Number Of spheres = Volume of cylinder / Volume of Sphere

=> Number Of spheres =  90π / (π/6 )  = 540

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