Chapter 7.4, Problem 21MCQ

To determine

To find: The approximate surface area of Mars and write the answer in scientific notation.

Answer to Problem 21MCQ

The required surface area of the mars is $1.4\times {10}^{8}km$ .

Explanation of Solution

Given information:

The radius of mars is about $3.4\times {10}^3$ km.

Formula for the surface area of a sphere $SA=4\pi r^2$

Calculation:

We know,

  $SA=4\pi r^2$

  $=4\times 3.14\times {\left(3.14\times {10}^3\right)}^2$

(Putting the value of $\pi$ and radius)

  $\begin{array}{l}=145193600\\ =1.4\times {10}^8\end{array}$

(Simplify)

The surface area of the mars is $1.4\times {10}^{8}km$ .