<h3>
Answer: C) 2.47 cm</h3>
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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
B is congruent to F and E is congruent to C
A and D are not congruent to any others.
Answer:
A . Triangle A
D. Triangle D
For this case what you need to know is that each package contains 2 balloons.
Therefore, you can solve the problem by making the following rule of three:
1 package ---> 2 balloons
x ---------------> 275 balloons
Clearing x we have:
x = (275/2) * (1)
x = 137.5
Nearest whole number:
x = 138
Answer:
I need to buy 138 packs of balloons
