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?
Correct answer: B
Explanation
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 ==> with 5 and 15, we get 5sqrt(10).
5sqrt(10) or 15.8113 is the diameter of the sphere.
answer = B
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