Tim is an elementary school art teacher. His students are sculpting a replica of a shark out of clay. Tim has given them one block of clay to make 20 conical shark teeth for the sculpture. The block contains 81 cm3 of clay. If each tooth is solid and has a 2.5 cm base diameter, what is the maximum height each tooth can be? Assume that the students use all the clay.

Question

anonymous · Answer

Since it is clay, they can reshape it and use all of it to make the cones. 

A cone has 1/3 the volume of a cylinder of the same base area and height.

V = (1/3) pi r^2 h  for cone

20 V = 81 cm^3

Nearly done.