The buoy is made from two homogeneous cones each having a ra

The buoy is made from two homogeneous cones each having a radius of 1.5 ft

Part A

If h = 1.1 ft , find the distance z¯ to the buoy\'s center of gravity G.

Solution

z = [ ((pi/3) * r² * a * a/4) - ((pi/3) * r² * h * h/4))] / [pi / 3 * r² (a + h)]

= [ ((pi/3) * 1.5² * 4 * 4/4) - ((pi/3) * 1.5² * 1.1 * 1.1/4))] / [pi / 3 * 1.5² (4 + 1.1)]

= 8.71 / 12.02

z = 0.725 ft