5/19/08 - Problem of the Week (Solutions) - MATHCOUNTS

Mission to Mars - The Solutions
May 19, 2008

Volume = (4/3)πr³

V_Mars= (4/3) π(2107)³ = 3.918 × 10¹⁰

V_Earth= (4/3) π(3950)³ = 2.582 × 10¹¹

(2.582 × 10¹¹) ÷ ( 3.918 × 10¹⁰) = 6.6 times

(154,860,000 – 128,390,000) ÷ 128,390,000 = 0.206 = 20.6%


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