Question

Radius of the Earth =6.3781 x 10^6Radius of a Lacrosse Ball = 3 x 10^-2How many times greater is the radius of Earth is than the radius of a lacrosse ball. Show/Explain your answer

Answer 1

Given:

$\begin{gathered} \text{ Radius of the Earth }=6.3781\times10^6 \\ \\ \text{ Radius of a Lacrosse Ball }=3\times10^{-2} \end{gathered}$

Find-:

How many times greater is the radius of Earth is than the radius of a lacrosse ball

Explanation-:

Let x times grater then lacrosse ball

so,

$\begin{gathered} 6.3781\times10^6=x\times3\times10^{-2} \\ \end{gathered}$$\begin{gathered} x=\frac{6.3781\times10^6}{3\times10^{-2}} \\ \\ x=\frac{6.3781\times10^6\times10^2}{3} \\ \\ x=\frac{6.3781\times10^8}{3} \\ \\ x=2.126\times10^8 \end{gathered}$

So the radius of Earth is 2.16 10 to the power 8 times greater than then radius of a lacrosse ball