4. A solid piece of iron of dimensions 49×33×24;is moulded into a sphere. The
radius of the sphere is
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Radius of the sphere is 21 cm.
Step-by-step explanation:
Given :-
A solid piece of iron of dimensions 49 × 33 × 24 cm is moulded into a sphere.
To find :-
Radius of the sphere?
Solution :-
A solid piece of iron (cuboid) = Sphere
Volume of cuboid = Volume of sphere
Length × Breadth × Height = 4/3 πr³
⇒ 49 × 33 × 24 cm³ = 4/3 × 22/7 × r³
⇒ 38808 cm³ = 4.19 × r³
⇒ 38808/4.19 = r³
⇒ 9261 = r³
⇒ r = ³√9261
⇒ r = 21
∴ Radius of the sphere is 21 cm.
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