A saturn year is 29.5 times the earth year. How far is the saturn from the sun if the earth is `1.5xx10^(8)` away from the sun?

Explanation

`T_(s) = 29.5 T_(e)`
`R_(e) = 1.5 xx 10^(8) km`
Using Kepler.s law
`(R_(s)^(3))/(R_(e)^(3)) = (T_(s)^(2))/(T_(e)^(2))`
`R_(s) = R_(e)((T_(s))/(T_(e)))^((2)/(3))`
`= 1.5 xx 10^(8)((29.57_(e))/(T_(e)))^((2)/(3)) = 1.43 xx 10^(9) km`