Question

A solid piece of iron of dimension 49×33×24 is moulded into a sphere. the radius of the sphere is​

Answer 1

The radius of a sphere is 21 cm .

Step-by-step explanation:

Volume of solid iron piece = 49 × 33 × 24 cm³

Let r be the radius of a sphere.

Volume of solid iron piece (cuboid) =  Volume of sphere

l*b*h = 4/3 πr³

49 × 33 × 24 cm³ = 4/3 πr³

49 × 33 × 24 cm³ = 4/3 × 22/7 × r³

r³ = (49 × 33 × 24 × 3 × 7)/ (4 × 22)

r³ = 49 × 3 × 3 × 3 × 7

r³ = 7² × 3³ × 7¹

r³ = 7³ × 3³

r³ = 21³

r = 21 cm  

Therefore Radius of the sphere is 21 cm

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