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JulsSmile [24]
3 years ago
13

a local high schools cheerleading squad is selling snow cones during lunch to raise money for a national cheerleading competitio

n.Paper cones are pre-filled with shaved ice and then filled with flavored syrup as customers orders are placed.The paper can contain no more than 535 cubic centimeters of shaved ice and syrup.If the paper cone is 8 centimeters deep,what is the largest width of the containers opening?Use 3.14 to approximate pi.Round your answer to the nearest whole unit.
Mathematics
1 answer:
svlad2 [7]3 years ago
8 0
We have:

Volume of cone = 535 cm³ at the maximum
Height of cone= 8cm

We know the formula to find volume of cone is \frac{1}{3} r^{2}  \pi h

We need to find the radius of the base of the cone
535= \frac{\pi  r^{2}8} {3}
535*8= \pi  r^{2}
\frac{4280}{\pi}= r^{2}
r= \sqrt{ \frac{4280}{ \pi}   }
r=36.9 to the nearest one decimal place

The width of the opening of the cone is the diameter of the circle. Diameter is twice the radius, hence 2×36.9=73.8 cm
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Step-by-step explanation:

come on ! based on all the other questions that have been answered AND explained you should be able to find these answers yourself now. what is still unclear ?

distance between 2 points (x1, y1) and (x2, y2):

Pythagoras : c² = a² + b²

c is the connection between the 2 points (and which length we need to find).

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a and b are differences of the x coordinates and the differences of the y coordinates of these 2 points.

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b = y1 - y2

this is simply because, when you look at the coordinate grid, these 3 items make a right-angled triangle.

don't worry about any negative values for a and b, as the square eliminates the negative sign.

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we could use Pythagoras again for this, but the end result is so simple, we can skip this.

at the end the coordinates of the midpoint of 2 points (x1, y1) and (x2, y2) are

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and in the same way

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and you can read a graph, right ?

if not it is high time to learn that very simple and basic skill :

the x coordinate of a point is how many units right (positive) or left (negative) from the center point it is.

the y coordinate of a point is how many units above (positive) or below (negative) from the center point it is.

the center point is always (0, 0).

so, what else do you need ?

I am very busy explaining things. I should not spend my little time doing the basic calculations for you (that I could train a monkey to do).

so, please, oil your brain machinery by following the instructions and formulas using the actual numbers and see how the results build out of this.

if you run into further problems, please ask me for additional explanations.

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