Ocean Floor Mountain
Source: AMC 12 2008B Problem 11
February 29, 2008
geometry3D geometryAMC
Problem Statement
A cone-shaped mountain has its base on the ocean floor and has a height of feet. The top of the volume of the mountain is above water. What is the depth of the ocean at the base of the mountain, in feet?
(A)\ 4000 \qquad
(B)\ 2000(4\minus{}\sqrt{2}) \qquad
(C)\ 6000 \qquad
(D)\ 6400 \qquad
(E)\ 7000