1.

If the density of a sphere is reduced to `1//8` of its original value, then the radius of the sphere is `"_________"` times its original radius (assume that there is no change in mass). SA. 2B. 4C. `1//2`D. `1//4`

Answer» Correct Answer - A
Density = `"mass"/"volume"`
When the density is decreased to `1/8`th of its original value, then volume increases by times the original value. `v=4/3pir^(3)`
`v_(1)=8 " v "`
`4/3pir_(1)^(3)=8 xx4/3pi r^(3)`
`r_(1)=8 r^(3)`
` r_(1)=2 " 0 "`


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