Question

4. A solid piece of iron of dimensions 49×33×24;is moulded into a sphere. The
radius of the sphere is​

Answer 1

Answer:

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Answer 2

Answer:

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.