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A large new sphere is made by melting two metal sphere of radii `r_(1) "unit and" r_(2)` unit respectively. Find the radius of the large sphere. |
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Answer» The total volume of the sphere `=(4)/(3)pi(r_(1)^(3)+r_(2)^(3))` cubic,unit. Now, let the radius of the large be r unit, `therefore` the volume of the large sphere `=(4)/(3)pir^(3)` cu,unit. As per condition `(4)/(3)pir^(3)=(4)/(3)pi(r_(1)^(3)+r_(2)^(3)) rArr r=root(3)(r_1^3+r_2^3).` Hence the required of the large sphere `=root(3)(r_1^3+r_2^3).` unit. |
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