Question

the earth is modeled as a sphere with a radius of approximately 6,371 km. which formula would you use to find its volume? a. ( v=pi(6,371)^{2}(6,371) ) b. ( v=\frac{4}{3}pi(6,371)^{3} ) c. ( v = 4pi(6,371)^{3} ) d. ( v=\frac{1}{3}pi(6,371)^{2} )

Explanation:

Step1: Recall the formula for the volume of a sphere

The volume formula for a sphere is \(V=\frac{4}{3}\pi r^{3}\), where \(r\) is the radius of the sphere.

Step2: Substitute the radius into the formula

Given \(r = 6371\) km, substituting into the formula gives \(V=\frac{4}{3}\pi(6371)^{3}\).

Answer:

B. \(V=\frac{4}{3}\pi(6371)^{3}\)