Question

A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted and recast into a wire of diameter 3mm,find the length of the wire formed

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

✪ᴀɴsᴡᴇʀ✪

Given that,

Radius = 2.1 cm

Height = 8.4cm

★ Radius of the cone = 1/3πR²H

= 1/3×22/7×2.1×2.1×8.4

= 38.808cm³

★ Let the Radius of the sphere be 'R'

According to the questions

Volume of Sphere = Volume of Cone

=> 4/3πR³ = 38.808cm³

=> R³ = 9.216cm³

=> R = 2.1cm

Hence, Radius of the Sphere is 2.1cm.

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