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Given:
Volume of a sphere is times the surface area.
To find:
The surface area and the volume of the sphere.
Solution:
Volume of a sphere:
...(i)
Surface area of a sphere:
...(ii)
Where, r is the radius of the sphere.
Volume of a sphere is times the surface area.
Multiply both sides by 3.
Using (i), the volume of the sphere is:
Using (ii), the surface area of the sphere is:
Therefore, the surface area of the sphere is 9856 sq. units and the volume of the sphere is 91989 cubic units.