Answer:
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Answer: The height of the container is 10 centimeters. If its diameter and height were both doubled, the container's capacity would be 8 times its original capacity.
Step-by-step explanation:
The volume of a cone can be calculated with this formula:

Where "r" is the radius and "h" is the height.
We know that the radius is half the diameter. Then:

We know the volume and the radius of the conical container, then we can find "h":

The diameter and height doubled are:

Now the radius is:
And the container capacity is

Then, to compare the capacities, we can divide this new capacity by the original:
Therefore, the container's capacity would be 8 times its original capacity.
Answer:
120 different color combinations are possible.
Step-by-step explanation:
The order in which the color are chosen is not important(blue, green and red is the same outcome as red, blue, green), which means that the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
3 colors from a set of 10, so:

120 different color combinations are possible.
3.675v + 0.096v^2.....where v is the speed of the car in mph
at 70 mph....so sub in 70 for v
3.675(70) + 0.096(70^2) =
257.25 + 470.4 =
727.65 ft <===