‘Love may make the world go around, but oil lubricates the axle.’
[1]
To automate his sand castle project, Tristan rented an AI-guided sand conveyor. At redline speed, it sifted, sorted, and piled Crab Cove sand into a perfect cone. After the conveyor operated for just five minutes, the cone of sand stood 3 feet tall.
If the shape remains constant, find the total time T until the cone reaches 9 feet high.
Send the correct answer to [email protected] [2] for a chance to win a Tucker’s gift card.
Last week’s winner [3] was James Forakis with diameter D = 130 meters.
(Extra credit: Given: yz = x and 8z = xy and y = ½ z, find the value of z.)
Jeff Smith is a former Math teacher and a retired US Navy Lieutenant Commander. Reach him at [email protected] [2].