2 years ago

I have to try and find the volume of the cone

Mathematics

1 answer:

EastWind [94]2 years ago

6 0

Answer:

1,282.2 m³

Step-by-step explanation:

We'll use the formula 1/3*(B*h)

First, you have to find the area of the base

formula: πr²

radius: 7

7*7= 49

49*3.14=153.86

Now, multiply 153.86 by 25 (the height)

153.86*25= 3,846.5

Lastly, divide 3,846.5 by 3 and get 1,282.2 rounded

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Given:

There are given the equation:

$\begin{gathered} x=-y-6...(1) \\ -7x+6y=-10...(2) \end{gathered}$

Explanation:

From the equation (1):

Put the value of x into the equation (2):

So,

From the equation (2):

$\begin{gathered} \begin{equation*} -7x+6y=-10 \end{equation*} \\ -7(-y-6)+6y=-10 \\ 7y+42+6y=-10 \\ 13y=-10-42 \\ 13y=-52 \\ y=-4 \end{gathered}$

Now,

Put the value of y into the equation (1):

So,

From the first equation:

$\begin{gathered} \begin{equation*} x=-y-6 \end{equation*} \\ x=-(-4)-6 \\ x=4-6 \\ x=-2 \end{gathered}$

Final answer:

Hence, the ordered pair of the solution is shown below:

$(-2,-4)$

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