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Tcecarenko [31]
3 years ago
12

The cone-shaped container for the echidna treats holds to 218 cubic centimeters of ants and has a radius of 4 cm. rounded to the

nearest whole number, what is the height of the container? use 3.14 for pie symbol
Mathematics
1 answer:
Tems11 [23]3 years ago
5 0

Answer:

13 cm

Step-by-step explanation:

To find the answer, you can use the formula to calculate the volume of a cone and isolate the height:

V= πr^2\frac{h}{3}

V= volume= 218 cubic centimeters

π= 3.14

r= radius= 4 cm

h=height

218= 3.14*4^2*\frac{h}{3}

218*3=3.14*16*h

654=50.24*h

h=654/50.24

h=13

According to this, the height of the container is 13 cm.

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Solve for x and y<br><br>6/x+2y + 5/x-2y = -3 ;<br>3/x+2y + 7/x-2y = -6​
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Step-by-step explanation:

Let

{1/(x+2y)} = u -----Eqn(1)

{1/(x-2y)} = v ------Eqn(2)

So, given equation can be rewritten as

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⇛3u + 7v = -6 -----Eqn(4)

On multiply equation (4) by 2, we get

⇛6u + 14v = -12 -----Eqn(5)

On subtracting equation (3) from equation (5), we get

⇛9v = -9

⇛v = -9/9

⇛v = -1 ----Eqn(6)

Put value of v in equation (3), we get

6u + 5v = -3

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⇛6u -5 = -3

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⇛u = 2/6

⇛u = (2÷2)/(6÷2)

⇛u = 1/3 -----Eqn(7)

Now, substituting value of u and v in equation (1) and equation (2), we get

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⇛x - 2y = -1 -------Eqn(9)

Now, add equation (8) and equation (9) , we get

⇛2x = 2

⇛x = 2/2

<h3>⇛x = 1 -----Eqn(10)</h3>

On substituting x = 1 in equation (8), we get

x + 2y = 3

⇛ 1 + 2y = 3

⇛2y = 3 - 1

⇛2y = 2

⇛y = 2/2

<h3>⇛y = 1 ------Eqn(11)</h3>

Therefore, x = 1 and y = 1

<u>Answer</u><u>:</u> Hence the value of x and y is 1 and 1.

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