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kondor19780726 [428]
3 years ago
10

I need help on number 10 urgently.

Mathematics
2 answers:
grigory [225]3 years ago
6 0

Answer: Option A. 288 cubic inches

uranmaximum [27]3 years ago
4 0

The formula for the volume of a cylinder is

V = π · R² · Height .

The formula for the volume of a sphere is

V = 4/3 · π · R³ .

We <u>know</u> the volume of the cylinder, so let's work with that formula, and see if we can squeeze anything out of it that can help us with the sphere.

Cylinder:  V = π · R² · Height .

Wow !  Look at the picture for a second !  The radius of the cylinder is the same as the radius of the sphere, AND the height of the cylinder is double the radius !  This should really help.

Cylinder:  V = π · R² · (2R) .

V = π · (2R³)

But we know the volume of the cylinder.  It's  432π inch³ .

432π in³ = π · 2R³

Divide each side by  2 :

π R³ = 216 in³

We could use this to find the radius, but why bother ?  Why not just keep (π R³) and stuff it straight into the formula for the volume of the sphere ! ?

Sphere:  V = 4/3 · (π · R³)

V = 4/3 · (216 in³)

V = (4/3 · 216) in³

<em>V = 288 in³ </em><em> </em>

<em />

Ahhh ... the sweet feeling of knowing that you're right !

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Pls help due ASAP <br> Show workings please!!!
Vlad [161]

Answer:

AB=8

Step-by-step explanation:

First, you get figure out x. Since both sides are equal, use the equation x+3=2x-2, then subtract x from both sides, 3=x-2, and then add 2 to both sides, x=5. Then use one of the equations to get the length of the side, I used x+3=8, which is your answer.

(hope this helps :P)

5 0
3 years ago
Mailboxes Plus sends packages overnight for $5 plus $0.25 per ounce. United Packages charges $2 plus $0.35 per ounce. Me. Molina
scZoUnD [109]

Answer:

30 ounces

Step-by-step explanation:

You first have to write out the two equations:

5+0.25x=y

2+0.35x=y

Then simply equal the equations to each other:

5+0.25x=2+0.35x

Subtract the 2 from both sides:

3+0.25x=0.35x

Subtract the 0.25x from both sides:

3=0.10x

Divide the 0.10 on both sides:

30=x

So, 30 ounces is your answer!

You can check by plugging 30 back into the equations to make sure that they are equal to each other.

5+0.25(30)=12.5

2+0.35(30)=12.5

5 0
3 years ago
Write 25 ) 10^6 in standard form
klemol [59]
Your answer is: 25,000,000
6 0
3 years ago
Use a Venn diagram
zzz [600]

<u>Answer:</u>

243 students are involved in either sports or music whereas 100 are not

involved in either of it.

<u>Step-by-step explanation:</u>

No. of students who are in music = 115

No. of students who are in sports = 197

No. of students who are in both activities = 69

So, no. of students who are involved either in sports or music,

= (115 + 197 - 69)

=243

So, no. of students who are not involved in either sports or music,

= (343 - 243)

=100

5 0
3 years ago
Sorry, this is for my school stuff and this is the only way I can get the pictures.
Mrrafil [7]

Answer:

okay :)

Step-by-step explanation:

7 0
3 years ago
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