1.

A child reshapes a cone make up of clay of height 48 cm and radius 12 cm into a sphere. The radius (in cm) of the sphere is1). 62). 123). 244). 48

Answer»

⇒ radius of CONE(r) = 12 CM

HEIGHT of cone(h) = 48 cm

⇒ Let radius of sphere be R

⇒ Given volume of cone = volume of sphere

⇒ (1/3)πr2h = 4/3πR3

⇒ r2h = 4 × R3

⇒ 12 × 12 × 48 = 4 × R3

⇒ 12 × 12 × 12 = R3

⇒ R = 12 cm

∴ radius of the sphere is 12 cm



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