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Explanation:
We have 81 cm^3 of clay. Divide this among the 20 students and each gets 81/20 = 4.05 cm^3 of clay
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The volume of a cone is
V = (1/3)*pi*r^2*h
Solving for h gets us
3V = pi*r^2*h
(3V)/(pi*r^2) = h
h = (3V)/(pi*r^2)
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The diameter is 2.5 cm which cuts in half to 1.25 cm, so this is the radius.
We'll plug this radius in, along with V = 4.05 and pi = 3.14
h = (3V)/(pi*r^2)
h = (3*4.05)/(3.14*(1.25)^2)
h = 2.4764
This value is approximate. Rounding down to the nearest hundredth gets us 2.47
We round down because rounding up to 2.48 will lead to a volume larger than 4.05
The maximum height of each tooth is 2.47 cm and this can be determined by using the formula of the volume of the cone.
Given :
The following steps can be used in order to determine the maximum height of each tooth:
Step 1 - The formula of the volume of the cone can be used in order to determine the maximum height of each tooth.
Step 2 - The formula of the volume of the cone is given below:
[tex]\rm V = \dfrac{1}{3}\pi r^2h[/tex]
where r is the radius and h is the height of the cone.
Step 3 - Substitute the values of the known terms in the above expression.
[tex]\rm \dfrac{81}{20}= \dfrac{1}{3}\times \pi \times (1.25)^2\times h[/tex]
Step 4 - Simplify the above expression.
h = 2.47 cm
For more information, refer to the link given below:
https://brainly.com/question/1578538
