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3 years ago

A cone has a volume of 6 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

7 0

36 in. to the 3rd...........

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Use the divergence theorem to find the outward flux of the vector field F(xyz)= 4x^2 i + 4y^2 j + 3z^2 k across the boundary of

Pavel [41]

$\vec F(x,y,z)=4x^2\,\vec\imath+4y^2\,\vec\jmath+3z^2\,\vec k\implies\nabla\cdot\vec F=8x+8y+6z$

Let $S$ be the surface of the rectangular prism bounded by the planes $x=0$ , $x=a$ , $y=0$ , $y=b$ , $z=0$ , and $z=c$ . By the divergence theorem, the integral of $\vec F$ over $S$ is given by the integral of $\nabla\cdot\vec F$ over the interior of $S$ (call it $R$ ):

$\displaystyle\iint_S\vec F\cdot\mathrm d\vec S=\iiint_R(\nabla\cdot\vec F)\,\mathrm dV$

$=\displaystyle\int_0^c\int_0^b\int_0^a(8x+8y+6z)\,\mathrm dx\,\mathrm dy\,\mathrm dz=\boxed{abc(4a+4b+3c)}$

5 0

3 years ago

How many vertices have an odd degree?

sashaice [31]

did you find the answers :( ??

6 0

3 years ago

Read 2 more answers

What is the most logical first step in solving the equation x2+6x+9=10?

valentina_108 [34]

You need to make the right side = 0
To do this you subtract 10 from both sides of the equation:-

x^2 + 6x + 9 - 10 = 10 - 10
x^2 + 6x - 1 = 0

5 0

3 years ago

Don’t understand this can someone help

pentagon [3]

1...
you need to find unknown measures in 1.ques. by using corresponding parts of similar triangle property..
THAT IS...
XY/PQ = YZ/QR =ZX/PR....
PUT VALUES IN THIS N SOLVE....

2....
use the property that ratio of corresponding sides of similar figures are equal....

HOPE IT HELPS YOU '_'

8 0

3 years ago

Read 2 more answers

Solve the inequality <br>1/2x - 4 < 3 - 2/3 x

34kurt

Answer:

X<6

Step-by-step explanation:

3x-24<18-4x

7x<42

5 0

3 years ago