Question

SIZE OF JUPITER Jupiter, the largest planet in our solar system, has a radius of about \(4.4 \times 10^{4}\) miles. Use the equation \(V=\frac{4}{3} \pi r^{3}\) to find Jupiter's volume.

Short answer

Therefore, the volume of Jupiter is approximately \(3.563 \times 10^{15}\) cubic miles.

Step-by-step solution

Understand the Given

We are given the radius of the Jupiter as \(4.4 \times 10^{4}\) miles, and required to find its volume using the formula for the volume of a sphere which is \(V=\frac{4}{3} \pi r^{3}\).

Substitution

By substituting the given radius of the Jupiter into this formula, we obtain \(V=\frac{4}{3} \pi (4.4 \times 10^{4})^{3}\).

Calculate the Volume

By applying the exponentiation \(r^{3}=(4.4 \times 10^{4})^{3} = 8.51 \times 10^{13}\), then multiplying by \(\frac{4}{3} \pi\), we find that the volume of the Jupiter is \(V \approx 3.563 \times 10^{15}\) cubic miles.