1.

किसी गोले तथा अर्द्धगोले का आयतन समान है। तिर्यक पृष्ठ क्षेत्रफल का अनुपात ज्ञात करें?A. `2^(3/2):1`B. `2^(2/3):1`C. `4^(2/3):1`D. `2^(1/3):1`

Answer» Correct Answer - D
Let the radius of hemisphere and sphere be `r` and `R`
`implies 4/3piR^(3)=2/3pir^(3)`
`(R^(3))/(r^(3))=1/2`
`R/r=1/(root(3)(2))`
`implies` Ratio of curved surface area
`=(4piR^(2))/(2pir^(2))=(2R^(2))/(r^(2))=(2xx1)/((root(3)(2))^(2))`
`=2/((2)^(2//3))impliesR/r=(2^(1//3))/1`


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