Problem

33. Planets The mean radius of Earth is approximately 6378 kilometers. The mean radius of Mars is approximately 3397 kilometers, or about \( \frac{1}{2} \) the mean radius of Earth. How does the surface area of Mars compare to the surface area of Earth?

Answer

Expert–verified
Hide Steps
Answer

\(\frac{A_{Mars}}{A_{Earth}} = \frac{4 \pi (\frac{1}{2} \cdot 6378)^2}{4 \pi (6378)^2} = \frac{1}{4}\)

Steps

Step 1 ：\(A_{Earth} = 4 \pi r_{Earth}^2 = 4 \pi (6378)^2\)

Step 2 ：\(A_{Mars} = 4 \pi r_{Mars}^2 = 4 \pi (\frac{1}{2} \cdot 6378)^2\)

Step 3 ：\(\frac{A_{Mars}}{A_{Earth}} = \frac{4 \pi (\frac{1}{2} \cdot 6378)^2}{4 \pi (6378)^2} = \frac{1}{4}\)

link_gpt

Popular Problems

Compute $\int_{0}^{\ln (2) / … Solve the triangle. \[ \mathr… QUESTION 2 - 1 POINT Solve th… 5. Suppose you are a computer… Answer the statistical measur… $(-\infty, 2) \cap(-6, \infty… A firm does not pay a dividen… Math 112 Section: 4. Tubercul… Find $y^{\prime}$ if $y=\ln \… 3. (3pts) Cherry trees in a c… More