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mote1985 [20]
3 years ago
15

Ng ne Volume of a Cone

Mathematics
1 answer:
AnnyKZ [126]3 years ago
6 0
Answer: height = 6, radius = 8, Volume = 401.92

Explanation:
Height = 6 given

Find radius:

Use Pythagorean’s theorem to find the side of the right triangle:

a^2 + b^2 = c^2
b^2 = c^2 - a^2
b^2 = 10^2 - 6^2
b^2 = 100-36
b^2 = 64
b = 8

And since length b is also the radius of the circle then radius = 8

Find volume:

V = pi x r^2 x h/3

V = 3.14 x 8^2 x 6/3

V = 3.14 x 64 x 2

V = 401.92
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Kelly needs to order lunch for orders 6 people at a business meeting. Her menu choices are chicken salad for a cost of $5 per pe
nirvana33 [79]
Ok , with that information we can write the equations
x + y = 6
5x + 4y = 28

Where x = how many people ordered chicken
and y = how many people ordered egg salad

Through elimination , we can set one of the variables in both equations equal so we can eliminate it :

(4)x + (4)y = (4)6
5x + 4y = 28

4x + 4y = 24. equation 1
5x + 4y = 28. equation 2

Now we can subtract the second equation by the first equation and isolate one variable:
equation 2 - equation 1

5x - 4x + 4y - 4y = 28 - 24

x = 4

Now that we discovered our x value ( How many people ordered chicken salad ) , we can apply it to one of the equations and discover y ( how many people ordered egg salad)

x + y = 6
x= 4
4 + y = 6

We can shift 4 to the other side of the equation by subtracting 4 from both sides of the equation:
4 - 4 + y = 6 - 4
y = 2

x=4 and y=2

So the awnser is :
4 people ordered chicken salad and 2 people ordered egg salad!

I hope you understood my brief explanation!!

p.s if you want to know how to use another method to solve these problems ( Substition) , just let me know in a comentary down here
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The distance at the base is 4 feet. Hope this helps.
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Answer:

thirty-eight

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