Chapter 9, Problem 7STP

To determine

To calculate:To calculate the volume of moon, where radius is $1.7\times {10}^6$ meters and the formula of volume is given by $V=\frac{4}{3}\pi r$

Answer to Problem 7STP

The answer is $D.$$2.1\times {10}^{19}$$m^3$ .

Explanation of Solution

Given information:

Given radius is $1.7\times {10}^6$ meters and the formula of volume of moon is given by $V=\frac{4}{3}\pi r$

Formula Used:

Volume of the moon:

  $V=\frac{4}{3}\pi r$

And, value of $\pi =3.14$ .

Calculation:

Given radius is $1.7\times {10}^6$ meters

Using the formula for Volume of the moon, we have:

  $V=\frac{4}{3}\pi r$

Substituting the value of radius and $\pi$ in the above equation, we have:

  $V=\frac{4}{3}\times 3.14\times {\left(1.7\times {10}^6\right)}^3$

Solving the above equation, we have:

  $V=20.56\times {10}^{18}$

Rounding to the nearest decimal place, we have:

  $V=2.1\times {10}^{19}$

Thus, the Volume of the moon is $2.1\times {10}^{19}$$m^3$ .

Conclusion:

The correct answer is $D.$$2.1\times {10}^{19}$$m^3$ .