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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 |
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Answer» ⇒ 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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