Question

a solid metallic cone of radius 2 centimetre and height 8 cm is melted into a sphere find the radius of the sphere​

Answer 1

Volume of sphere = volume of cone

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Answer 2

Answer : 2 cm

Step by step explanation :

Given :

Radius of metallic cone = 2 cm

Height : 8 cm

To find : Radius of sphere

Solution :

Let us assume the Radius of sphere as 'R' cm.

Here, Volume of sphere = Volume of cone.

We know that,

Volume of sphere = 4/3 πR³

Volume of cone = 1/3 π r²h

Thus,

4/3 πR³ = 1/3 π r²h

4/3 π R³ = 1/3 π × 2 × 2 × 8

4/3 R³ = 1/3 × 32

R³ = 32/4

R³ = 8

R = 2

Thus, Radius of sphere = 2 cm.

Final answer :

Radius of sphere is 2 cm.