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nekit [7.7K]
3 years ago
12

It takes 6 cubic inches of colored sand to fill a plastic cone. How many cubic inches will it take to fill a plastic cylinder wi

th the same base and height as the cone? 
A.18
B.24
C.2
D.12
Mathematics
1 answer:
frosja888 [35]3 years ago
5 0
The volume of a cone is equal to
Volume = pi * r^2 * h / 3

The volume of a cylinder is equal to
Volume = pi * r^2 * h

The cone is filled with 6 cubic inches colored sand.
As you observed, the volume of the cone is 1 / 3 of the volume of the cylinder.

Cone = Cylinder / 3
6 = Cylinder / 3
Cylinder = 18

So the answer is A. 18.
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Step-by-step explanation:

a) We are given a positive real number r. We need to wite that there is a positive real number that is smaller. Call that number s. Then r>s (this is equivalent to s<r, s is smaller than r) and s is positive (or s>0 if you prefer). We fill in the blanks using the bold words.

b) The last part claims that s<r, that is, s is smaller than r. We know that this must happen for all posirive real numbers r, that is, for any r>0, there is some positive s such that s<r. In other words, there exists s>0 such that s<r.

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