Problem Solving

Princeton Review

A perfect spherical satellite with a radius of \(4\) feet is being packed for shipment to its launch site. If the inside dimensions of the rectangular crates available for shipment, when measured in feet, are consecutive even integers, then what is the volume of the smallest available crate that can be used?

(Note: the volume of a sphere is given by the equation \(V=4\pi r^3\) )

A. 48
B. 192
C. 480
D. 960
E. 1,680

OA D