Cynthia has leftovers in a rectangular casserole dish that measures 8 in by 12 in by 2 in tall. She estimates that approximately half the dish’s capacity remains.

Question

Cynthia has leftovers in a rectangular casserole dish that measures 8 in by 12 in by 2 in tall. She estimates that approximately half the dish’s capacity remains. 
1. What  volume of food is left in the dish?
2. She stores the leftovers in a cylindrical container that measures 5 inches in diameter. What height will the food reach in the new container?

oobleck · Accepted Answer

#1. 1/2 (8*12*2) = 96 in^3 #2. πr^2 h = 96 So plug in r = 5/2 and solve for h.