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Elena-2011 [213]
3 years ago
11

A sphere just fits inside a cube with edges 20 in. Long. What is the volume of the sphere? What is the volume of the cube? What

is the volume of the space between the cube and sphere?
Mathematics
1 answer:
yuradex [85]3 years ago
5 0

Answer:

Step-by-step explanation:

Volume of a cube = (side)³

                              = (20)³

                              = 8000 cubic in.

Volume of the sphere which just fits in = \frac{4}{3}\pi r^{3}

Here, r = Radius of the sphere

Since, sphere just fits in, radius of the sphere = half of the dimension of the cube

r = \frac{20}{2}

r = 10 in

Therefore, volume of the sphere = \frac{4}{3}\pi (10)^3

                                                        = 4188.79 cubic inch

Volume of the space between the cube and sphere = 8000 - 4188.79

                                                                                       = 3811.21 cubic inch

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iVinArrow [24]

Answer:

x = \sqrt{99}

Step-by-step explanation:

Based on the Pythagoras theorem, where a and b are the legs of the triangle and c is the hypotenuse.

c^{2}= a^{2} + b^{2} \\c = \sqrt{a^{2} + b^{2} } \\x = \sqrt{7^{2} + (5\sqrt{2})^{2}} \\x = \sqrt{99}

Therefor x = \sqrt{99}

7 0
3 years ago
Plz help ASAP!!!!!!<br> WILL MARK BRAINLIEST !!!!!!!!
34kurt

Answer:

triangle MRP and triangle NPR looks like the right answer.

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6 0
3 years ago
Read 2 more answers
Can someone explain how to do "interquartile range"
Andrews [41]

What is it?

The IQR describes the middle 50% of values when ordered from lowest to highest. To find the interquartile range (IQR), ​first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.

How do you find IQR?

<em>Step 1: Put the numbers in order. ...</em>

<em>Step 2: Find the median. ...</em>

<em>Step 3: Place parentheses around the numbers above and below the median. Not necessary statistically, but it makes Q1 and Q3 easier to spot. ...</em>

<em>Step 4: Find Q1 and Q3. ...</em>

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7 0
2 years ago
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What is the order of the steps to solve for x in the equation 3x - 6x - 7 = 29?
Anna35 [415]

Answer:

3x - 6x - 7 = 29 <u>Given</u>

<u>-----------------------------------</u>

3x - 6x -7  = 29

           + 7   + 7     <u>Addition property of equality</u>

3x - 6x = 36

<u>--------------------------------------------------------------</u>

3x - 6x = 36

<u>(</u>3x + -6x) = 36         <u>Combine like terms</u>

-3x = 36    

<u>--------------------------------------------------------------</u>

-3x = 36

(-3x = 36)/ -3         <u>Division property of equality</u>

x = -12

<u />

Step-by-step explanation:

I tried to seperate the steps so you can go through them. First you had to add on both sides to take out the like terms, then combine the 3x and the  -6x to make -3x (easier to look at and divide), and finally divide to find X. the end product using X cannot be a negative because its a filler space for a real number.

Hope this helps :)

8 0
3 years ago
Please show work
Anit [1.1K]

(1)

since both equations express y in terms of x, equate the right sides

- 2x = - 4x + 10 ( subtract 4x from both sides )

2x = 10 ( divide both sides by 2 )

x = 5

substitute x = 5 into y = - 2x → y = - 10

solution is : (x, y ) → (5, - 10 )

(2)

equate the right sides of both equations

3x = 2x - 7 ( subtract 2x from both sides )

x = - 7

substitute x = - 7 into y = 3x → y = - 21

solution is : (x, y) → (- 7, - 21)

(3)

substitute y = - 8 into the other equation

- 8 = 6x + 22 ( subtract 22 from both sides )

- 30 = 6x ( divide both sides by 6 )

x = - 5

solution is : (x, y ) → (- 5, - 8 )



6 0
3 years ago
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