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The diameter of a sphere is equal to the diameter of another sphere. The curved surface area of the first and the volume of the second are numerically equal. The numerical value of the radius of the first sphere is1). 32). 243). 84). 16 |
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Answer» The diameter of a SPHERE is equal to the diameter of another sphere. Let the radius of FIRST sphere be x cm and radius of second sphere will ALSO be x cm. The curved surface area of first sphere = 4πr2[Where, r = radius] = 4π × (x)2 = 4πx2 cm2 The volume of the second sphere = (4/3) × π × r3 [Where, r = radius] = (4/3) × π × x3 cm3 The curved surface area of the first and the volume of the second are NUMERICALLY equal. 4πx2 = (4/3) × π × x3 ⇒ x = 4 × (3/4) ⇒ x = 3 Hence, the radius of the first sphere = 3 |
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