A cone of height 24 cm and radius of base 6cm is made up of modelling clay . A child reshaped it in the form of sphere . Find the radius of the sphere
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Find the volume of the cone:
Volume = 1/3 πr²h
Volume = 1/3 π(6)² (24) = 288π cm³
Find the radius of the sphere:
Volume = 4/3πr³
288π = 4/3πr³
r³ = 288π ÷ 4/3π
r³ = 216
r = ∛216
r = 6 cm
Answer: Radius = 6 cm
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