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.
A 1.25cm
B 2.27cm
C 2.47cm
D 3.57 cm
E 4.50 cm

C. 2.47 cm

Step-by-step explanation:

using the volume formula of a cone:

V = 1/3 r² π h

substitute the radius in: 2.5/2 = 1.25 cm

V = 1/3 (1.25)² π h

We know that Tim gives only 81 cm³ of clay to make 20 teeth, so you can find the volume of each tooth by dividing 81 by 20 to get 4.05 cm³

4.05 = 1/3 (1.25)² π h

4.05 = (25/48)π h

2.47 ≈ h

C. 2.47

Step-by-step explanation:

Hope it helps :)

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step-by-step explanation: