Estimate the number of dollar bills (15.5 cm wide), placed end to end, that it would take to circle the Earth (radius = 6.40 × 10³ km). A) 9.5 × 10⁸ B) 2.6 × 10⁸ C) 3.7 × 10⁷ D) 1.2 × 10⁷ E) 8.5 × 10⁶

Question

Quizplus · Accepted Answer

To estimate the number of dollar bills needed to circle the Earth, first calculate the circumference of the Earth using the formula $C = 2\pi r$, where $r$ is the radius of the Earth. Given $r = 6.40 \times 10^6$ meters (since 1 km = 1000 meters), the circumference $C = 2\pi(6.40 \times 10^6) \approx 40.2 \times 10^6$ meters. Since each dollar bill is 15.5 cm wide, or 0.155 meters, the number of dollar bills needed is $C / 0.155 \approx 40.2 \times 10^6 / 0.155 \approx 2.6 \times 10^8$.

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