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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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Answer:

$44

Step-by-step explanation:

First, find how much he was making originally:

Multiply the number of hours he worked by the amount he got per hour:

20(8)

= 160

Then, find how much he gets now:

24(8.50)

= 204

To find his total weekly pay increase, find the difference between them:

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5 0
2 years ago
Solve the quadratic equation by factoring: 15x^2+4x-4=0
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We can factor by grouping. To do so, we multiply the leading coefficient with the constant at the end. In other words, a times c (ax^2 + bx + c).

15*-4 = -60

Now we need to split the b term into two pieces that multiply to -60 and add to 4.

-6 and 10 will work.

Now group one part of b with the 15x^2 and the other part with -4.

(15x^2 + 10x) + (-6x - 4)

Now factor both terms.

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3x+2 is one of our factors and 5x-2 is the other.

(3x+2)(5x-2)=0

Now just find the zeros.

3x+2 = 0
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x = -2/3

And

5x-2 = 0
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So the answer is x = -2/3 and x = 2/5






7 0
3 years ago
A pole is centre of a circular pond of diameter 14m. Total height of a pole is 20m and its part inside a water is 3.5m. If a man
monitta

Answer:

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3 years ago
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test.
Murljashka [212]

Answer:

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Step-by-step explanation:

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