Question

what mathematical operation is used to find the volume of a sphere from its radius?
a. division
b. addition
c. squaring
d. cubing
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{1}{3}pi(6,371)^{2} )
c. ( v=\frac{4}{3}pi(6,371)^{3} )
d. ( v = 4pi(6,371)^{3} )

Explanation:

The formula for the volume of a sphere is \( V=\frac{4}{3}\pi r^{3} \). Here, \( r = 6371\) km. So, we use the operation of cubing (since \( r\) is raised to the power of 3) to find the volume from the radius. For the second question, substituting \( r = 6371\) into the volume formula \( V=\frac{4}{3}\pi r^{3}\) gives \( V=\frac{4}{3}\pi(6371)^{3}\).

Answer:

1. d. Cubing
2. c. \( V=\frac{4}{3}\pi(6371)^{3}\)