1.

Find the surface area of a sphere whose volume is `4851 cm^(3)`

Answer» Let the radius of the sphere by r cm
Then, its volume `= ((4)/(3) pi r^(3)) cm^(3)`
`:. (4)/(3) pi r^(3) = 4851 rArr (4)/(3) xx (22)/(7) xx r^(3) = 4851`
`rArr r^(3) = (4851 xx (3)/(4) xx (7)/(22)) = ((441 xx 21)/(8)) = ((21)/(2))^(3)`
`rArr r = (21)/(2) = 10.5`
Thus, the radius of the sphere is 10.5 cm
Surface area of the sphere `= (4pi r^(2))` sq units
`= (4 xx (22)/(7) xx (21)/(2) xx (21)/(2)) cm^(2)`
`= 1386 cm^(2)`
Hence, the surface area of the given sphere is `1386 cm^(2)`


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