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

1. User Answers nabafnazir5
Volume of sphere = volume of cone
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2. User Answers BrainlyVirat
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.