Hey ! there
Answer:
- <u>1</u><u>1</u><u>3</u><u>.</u><u>0</u><u>4</u><u> </u><u>unit </u><u>cube</u>
Step-by-step explanation:
In this question we are provided with a sphere <u>having</u><u> </u><u>radius </u><u>3 </u><u>units </u>and <u>value </u><u>of </u><u>π </u><u>is </u><u>3.</u><u>1</u><u>4</u><u> </u><u>.</u><u> </u>And we're asked to find the<u> </u><u>volume</u><u> of</u><u> </u><u>sphere</u><u> </u><u>.</u>
For finding volume of sphere , we need to know its formula . So ,
![\qquad \qquad \: \underline{\boxed{ \frak{Volume_{(Sphere)} = \dfrac{4}{3} \pi r {}^{3} }}}](https://tex.z-dn.net/?f=%20%5Cqquad%20%5Cqquad%20%5C%3A%20%5Cunderline%7B%5Cboxed%7B%20%5Cfrak%7BVolume_%7B%28Sphere%29%7D%20%3D%20%20%5Cdfrac%7B4%7D%7B3%7D%20%5Cpi%20r%20%7B%7D%5E%7B3%7D%20%7D%7D%7D)
<u>Where</u><u> </u><u>,</u>
- π refers to <u>3.</u><u>1</u><u>4</u>
- r refers to <u>radius</u><u> of</u><u> sphere</u>
<u>Sol</u><u>u</u><u>tion </u><u>:</u><u> </u><u>-</u>
Now , we are substituting value of π and radius in the formula ,
![\quad \longrightarrow \qquad \: \dfrac{4}{3} \times 3.14 \times (3) {}^{3}](https://tex.z-dn.net/?f=%20%5Cquad%20%5Clongrightarrow%20%5Cqquad%20%5C%3A%20%5Cdfrac%7B4%7D%7B3%7D%20%20%20%5Ctimes%203.14%20%5Ctimes%20%283%29%20%7B%7D%5E%7B3%7D%20)
Simplifying it ,
![\quad \longrightarrow \qquad \: \dfrac{4}{3} \times 3.14 \times 3 \times 3 \times 3](https://tex.z-dn.net/?f=%20%5Cquad%20%5Clongrightarrow%20%5Cqquad%20%5C%3A%20%5Cdfrac%7B4%7D%7B3%7D%20%20%5Ctimes%203.14%20%5Ctimes%203%20%5Ctimes%203%20%5Ctimes%203)
Cancelling 3 with 3 :
![\quad \longrightarrow \qquad \: \dfrac{4}{ \cancel{3}} \times 3.14 \times 3 \times 3 \times \cancel{3}](https://tex.z-dn.net/?f=%20%5Cquad%20%5Clongrightarrow%20%5Cqquad%20%5C%3A%20%5Cdfrac%7B4%7D%7B%20%5Ccancel%7B3%7D%7D%20%20%5Ctimes%203.14%20%5Ctimes%203%20%5Ctimes%203%20%5Ctimes%20%20%5Ccancel%7B3%7D)
We get ,
![\quad \longrightarrow \qquad \:4 \times 3.14 \times 9](https://tex.z-dn.net/?f=%20%5Cquad%20%5Clongrightarrow%20%5Cqquad%20%5C%3A4%20%5Ctimes%203.14%20%5Ctimes%209)
Multiplying 4 and 3.14 :
![\quad \longrightarrow \qquad \:12.56 \times 9](https://tex.z-dn.net/?f=%20%5Cquad%20%5Clongrightarrow%20%5Cqquad%20%5C%3A12.56%20%5Ctimes%209)
Multiplying 12.56 and 9 :
![\quad \longrightarrow \qquad \: \pink{\underline{\boxed{\frak{113.04 \: unit \: cube}}}} \quad \bigstar](https://tex.z-dn.net/?f=%20%5Cquad%20%5Clongrightarrow%20%5Cqquad%20%5C%3A%20%20%20%20%5Cpink%7B%5Cunderline%7B%5Cboxed%7B%5Cfrak%7B113.04%20%20%5C%3A%20unit%20%5C%3A%20cube%7D%7D%7D%7D%20%5Cquad%20%5Cbigstar)
- <u>Henceforth</u><u> </u><u>,</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>sphere</u><u> </u><u>having </u><u>radius </u><u>3 </u><u>units </u><u>is </u><em><u>1</u></em><em><u>1</u></em><em><u>3</u></em><em><u> </u></em><em><u>.</u></em><em><u>0</u></em><em><u>4</u></em><em><u> </u></em><em><u>units </u></em><em><u>cube </u></em><em><u>.</u></em>
<h2>
<u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>
Answer:
x < -22
-22
Step-by-step explanation:
Let the number be x, to make an inequality.
3x + 4 < -62
Subtract 4 on both sides.
3x < -66
Divide both sides by 3.
x < -22
So the number is -22.
Hey there! Hello!
So, to find population density, all you need to do is divide the number of people (in this case, the population estimate) by the area of the land you've been given. I'll show the first one for you:
36,500,000 / 163,707 = 222.959311, which rounds to 223.
Hope this helped you out! Feel free to ask me any additional questions if you have any, or if you need any help with the other ones. :-)
Answer:
x= 70
Step-by-step explanation:
The equation is: x/7-12= -2
First, do inverse operations. Do = +12 on each side to get rid of 12
Now: x/7=10
Multiply 7 on each side
Now: x=70
Hope this helped!!! :D
<h3>
Answer: 90 degrees</h3>
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Explanation:
This figure is a kite since we have two pairs of adjacent sides that are congruent, but not all sides are the same length.
One property of kites is that the diagonals are always perpendicular (this applies to rhombuses as well). This means angle 3 is 90 degrees.