A rectangular solid, 3 x 4 x 15, is inscribed in a sphere, so that all eight of its vertices are on the sphere. What is the diameter of the sphere?  Choose the correct choice from the following answers
A) 13.3542  B) 15.8113  C) 18.3451  D) 19.5667  E) 20.8888
In an inscribed rectangle in a sphere, we will have a line joining the opposite vertices as the diameter.   According to the Pythagoras theorem, sides 3, 4 give diagonal as 5 ==&gt; with 5 and 15, we get 5sqrt(10).   5sqrt(10) or 15.8113 is the diameter of the sphere.   answer = 15.8113
<result>B</result>
A rectangular solid, 3 x 4 x 15, is inscribed in a sphere, so that all eight of its vertices are on the sphere. What is the diameter of the sphere?