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    				| 1. | If the ratio of curved surface areas of two hemisphere is 4:9, then the ratio of their lenghts of radii is 2:3 | 
| Answer» Let the radii of the rwo spheres be `r_(1) "and" r_(2)` units.As per question, `2pir_(1)^(2):2pir_(2)^(2)=4:9 rArr (2pir_(1)^(2))/(2pir_(1)^(2))=(4)/(9)rArr(r_(1)/(r_(2)))^(2)=((2)/(3))^(2)rArrr_(1)/r_(2)=(2)/(3)rArrr_(1):r_(2)=2:3` Hence the given atatement is true. | |