Volume and surface area of a solid sphere are numerically equal find its radius hence find the volume of the cube which just enclose this sphere
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Given : Volume and surface area of a solid sphere are numerically equal.
To find : Radius of Sphere
volume of the cube which just enclose this sphere
Solution:
Radius of Sphere = R
Volume of sphere = (4/3)πR³
Surface Area of sphere = 4πR²
(4/3)πR³ = 4πR²
=> R = 3
Radius of Sphere = 3 units
Diameter of Sphere = 2 * Radius = 2 * 3 = 6
Cube which will enclose sphere has side = Diameter of sphere = 6
Volume of cube = 6³ = 216 cubic units
volume of the cube which just enclose this sphere = 216 cubic units
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