Question

A copper sphere of radius 3 cm is melted and recast into a right circular cone of height 3 cm. Find the radius of the base of the cone.

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

The radius of the base of a cone is 6 cm.

Step-by-step explanation:

Given :  

Let radius of the base of a cone be r  

Radius of a copper sphere , R = 3 cm

Height of a right circular cone, h = 3 cm

Since, the copper sphere is melted and recast into a right circular cone , so volume of both are equal

Volume of copper sphere = volume of right circular cone

4/3 × πR³ = ⅓ ×πr²h

4R³ = r²h

4 × 3³ = r² × 3

r² = ( 4 × 27)/3

r² = 4 × 9

r = √36

r = 6 cm  

Hence, the radius of the base of a cone is 6 cm.

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