1.

The numerical values and whole surface area of a solid hemisphere are equal. Find the length of radius of the hemisphere.

Answer»

Solution :Let the radius of the solid HEMISPHERE=r UNITS.
`therefore` the volume of the solid hemisphere `=(2)/(3)pir^(3)` cu. Units and its whole SURFACE area `=3pir^(2)` sq.units.
As PER question ,`(2)/(3)pir^(3)=3pir^(2) rArr r=(9)/(2)=4.5`
Hence the radius of the solid hemisphere =4.5 units.


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