A sphere of radius 15cm is melted and recast into a cone of height 15cm. Find the radius of the cone.
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volume of Sphere = volume of cone
4/3 pie R³ = 1/3 pie r²h
4R³ = r²h ( because everything is cancelled out from both side)
4 × 15 × 15 × 15 = r² × 15
4 × 15 × 15 = r²
r² = 900
r = 30 cm
Therefore, radius of cone is 30cm
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