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Two metallic spheres of radii 5 cm and 12 cm respectively are melted to form a single solid sphere. Find the approximate value of the radius of the resultant sphere.1. 13 cm2. 15 cm3. 14 cm4. 12 cm |
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Answer» Correct Answer - Option 4 : 12 cm Given: Two metallic spheres of radii = 5 cm and 12 cm Formula used: Volume of sphere = 4/3 πr3 Calculation: Let the radius of the sphere be r cm Then, Volume of resulting sphere = sum of the volume of two sphere of radii 5 cm and 12 cm ⇒ 4/3 πr3 = 4/3 π × (5)3 + 4/3 π × (12)3 ⇒ r3 = (5)3 + (12)3 ⇒ r3 = 125 + 1728 ⇒ r3 = 1853 ⇒ r = 12.28 ~ 12 cm ∴ The approximate value of the radius of the resultant sphere is 12 cm |
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