Global warming or just one more torrid estival romance?
At left, a cylindrical roxy glass is filled with a tall ice prism. The icy rectangular prism, with square bases, fits snugly in the cylinder.
The ice prism is tangent to the cylinder along its four vertical edges. The lower base of the ice prism rests on the bottom of the roxy glass.
Prior to melting, the ice protrudes above the top of the cylindrical glass. The protrusion of ice above the rim measures a height h. After the ice melts, water fills the cylinder a distance h below the rim.
Given h = 2.66437 cm, find the height H, in centimeters, of the glass.
(Note: Those of you who are ice fishers or who have STEM degrees, please ignore the fact that ice has 92% the density of liquid water.)
Send the correct answer to [email protected] for a chance to win a Tucker’s gift card.
Last week’s winner was Ben Chacon with M = 9779.16 kg.
Jeff Smith is a former Math teacher and a retired US Navy Lieutenant Commander. Reach him at [email protected].
