## anonymous one year ago 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.

1. anonymous

1.25 cm 2.27 cm 2.47 cm 3.57 cm 4.50 cm

2. anonymous

If they need to make 20 teeth out of 81 cm^3 of clay, how much clay is used for each tooth?

3. anonymous

idk

4. anonymous

Divide 81 by 20. What do you get?

5. anonymous

4.05

6. anonymous

Good. So each tooth is cone shaped and contains 4.05 cm^3 of clay. In other words, the volume of the cone is 4.05 cm^3. Do you know how to calculate the volume of a cone?

7. anonymous

use the formula of a cone

8. anonymous

Right. $V=\frac{ 1 }{ 3 }\pi r ^{2}h$You have V=4.05 and r=2.5/2=1.25. You need to solve for h. What do you get?

9. anonymous

idk

10. anonymous

??

11. anonymous

2.47