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Volume of a hemisphere is 18000π cubic cm. Find its diameter.

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Given: Volume of hemisphere = 1 8000π cubic cm. 

To find: Diameter of the hemisphere 

i. Volume of hemisphere = (2/3) πr3

= 9000 x 3 

∴ r3 = 27000 

∴ r = \(\sqrt [3] {27000}\) … [Taking cube root on both sides] 

= 30 cm 

ii. Diameter = 2r 

= 2 x 30 = 60 cm 

∴ The diameter of the hemisphere is 60 cm. 

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