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Ludmilka [50]
2 years ago
5

what is the volume of this right cone with a radius of 12 CM a height of 15 cm and a slant of 19.2 cm​

Mathematics
2 answers:
Finger [1]2 years ago
7 0

For this case we have, that by definition, the volume of a cone is given by:

V = \frac {\pi * r ^ 2 * h} {3}

Where:

A: It's the radius of the base

h: It is the height of the cone

Substituting we have:

V = \frac {\pi * (12) ^ 2 * 15} {3}\\V = \frac {\pi * 144 * 15} {3}\\V = \frac {\pi * 2160} {3}\\V = 720 \pi \ cm ^ 3

Answer:

V = 720 \pi \ cm ^ 3

anygoal [31]2 years ago
3 0

Answer:

Step-by-step explanation:

The radius of a cone is the radius of its circular base. You can find a radius through its volume and height. Multiply the volume by 3. For example, the volume is 20.

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Alona [7]

Answer:

We have the equation

c_1\left[\begin{array}{c}0\\0\\0\\1\end{array}\right] +c_2\left[\begin{array}{c}0\\0\\3\\1\end{array}\right] +c_3\left[\begin{array}{c}0\\4\\3\\1\end{array}\right] +c_4\left[\begin{array}{c}8\\4\\3\\1\end{array}\right] =\left[\begin{array}{c}0\\0\\0\\0\end{array}\right]

Then, the augmented matrix of the system is

\left[\begin{array}{cccc}0&0&0&8\\0&0&4&4\\0&3&3&3\\1&1&1&1\end{array}\right]

We exchange rows 1 and 4 and rows 2 and 3 and obtain the matrix:

\left[\begin{array}{cccc}1&1&1&1\\0&3&3&3\\0&0&4&4\\0&0&0&8\end{array}\right]

This matrix is in echelon form. Then, now we apply backward substitution:

1.

8c_4=0\\c_4=0

2.

4c_3+4c_4=0\\4c_3+4*0=0\\c_3=0

3.

3c_2+3c_3+3c_4=0\\3c_2+3*0+3*0=0\\c_2=0

4.

c_1+c_2+c_3+c_4=0\\c_1+0+0+0=0\\c_1=0

Then the system has unique solution that is (c_1,c_2c_3,c_4)=(0,0,0,0) and this imply that the vectors v_1,v_2,v_3,v_4 are linear independent.

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inysia [295]

Answer:

A. (1.55, 2)

Step-by-step explanation:

The formula to apply when finding the midpoint of a segment where the coordinates of the end points are given is;

midpoint=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )

where (x₁,y₁) and (x₂,y₂) are the coordinates of the end points

Given;

x₁= -0.4 ,y₁=2.5,  x₂=3.5, y₂=1.5 then applying the formula for midpoint

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3 years ago
What is 36:12 as a fraction in lowest terms?
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Did you mean 36/12? If so the answer would be 3/1 or 3.
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3 years ago
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Answer:

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Step-by-step explanation:

4x<12

x<3

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