A solid sphere is cut equally becomes a hemisphere. If the surface area of the sphere is 1024π cm². Calculate the total volume of the hemisphere.
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Given : A solid sphere is cut equally becomes a hemisphere . surface area of the sphere is 1024π cm².
To find : volume of the hemisphere.
Solution:
Surface area of Sphere = 4πr² cm²
r = radius of sphere in cm
Surface area of Sphere given = 1024π cm²
=> 4πr² = 1024π
=> r² = 256
=> r = 16
Radius = 16 cm
Volume of Hemisphere = (2/3)πr³
= (2/3)π (16)³
= 8192π/3 cm³
= 8578.6 cm³
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