How do you find the volume inside the cylinder but outside the sphere? H=12cm.

Answers

Answer 1
Answer: Apparently, there is a sphere inside a cylinder, and we need to find
(the volume of the cylinder) minus (the volume of the sphere).

This wouldn't be too awfully difficult if we had the measurements we need
in order to calculate the volume of the cylinder and the volume of the sphere. 
You did give us a number, thank you, but no description, so we don't even know
what's 12, because we don't know how 'H' figures into anything.

If you have the numbers, here are the formulas you'll need:

Volume of a cylinder = π (radius)² (height or length)

Volume of a sphere = (4/3) π (radius)³
===============================================
Oh I think I get it.  There's a little ball stuck inside a cylinder, they
both have the same radius, and the height of the cylinder is 12.

That's still not enough information to do a complete calculation.
I'm afraid we still need that radius.  But we can get closer:

Volume of the cylinder = π (radius)² (12)

Volume of the sphere = (4/3) π (radius)³

(Cylinder) minus (sphere) = (4/3) π (radius²) ( 9 - radius ) .

Stuff the number for the radius into that, and you'll have the answer.

And if you need it, remember, the radius is 1/2 of the diameter.

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Determine whether (5,6) is the solution for y=x+1

Answers

(5,6)

x=5 \n y=6

y=x+1

(6)=(5)+1

6=6

true
Has your class not learned how to check an answer to see if it's correct ? ! ?

Your equation is [ y = x + 1 ].
You want to know whether (5, 6) is A solution to the equation.

When you write (5, 6), that means "x=5 and y=6".
So put those numbers into the equation in place of 'x' and 'y'
and see if the equation is true after you do that.

(y) = (x) + 1

(6) = (5) + 1

Do you see 5+1 on the right side.  That's 6.
So the equation says " 6 = 6 " . . . a true statement.
So (5, 6) is a solution of the equation.

It's not THE solution.  There are an infinite number of solutions
to that equation.  (5, 6) is one of them.

What two numbers add up to 1 but multiply to -2

Answers

Negative 1 and positive 2 will add up to 1 and will multiply to -2.

-1 + 2 =  1

-1 * 2 = -2

The two numbers are -1 and 2.

-1.6x - 3.2y=-24
2.6x + 2.6y = 26
The solution is (

Answers

Answer:

x=5\ny=5

Step-by-step explanation:

I solved using substitution

−1.6x−3.2y=−24

−1.6x=−24+3.2y

−1.6x=3.2y−24

x=-(3.2y-24)/(1.6\n)

2.6x+2.6y=26

−2.6y+39=26

−2.6y+39=26

−2.6y=26−39

−2.6y=−13

y =5

​​

Which statement about the angles in the diagram must be true? A. ∠5 and ∠8 are congruent.
B.∠2 and ∠8 are alternate interior angles. C. ∠4 and ∠7 are corresponding angles.
D. ∠1 and ∠5 are alternate exterior angles.

Answers

Answer:

C

Step-by-step explanation:

they r located at the same spot & side of the intersecting line on both parallel lines

C




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Mars takes 686 days to orbit the Sun. What percent is this of the time it takes the Earth to orbit the Sun?

Answers

All you want to do is find what 686-365 is because that's the percent increase. Next you divide the number that you got by 365 and that's your percentage increase.

Create a set of at least 4 ordered pairs and tell whether or not the relation is a function. Why do you say so?

Answers

Okay if you want a function each set has a rule. So let's say f(x)=3x+4. Then just follow the rule and the result you get from following the rule will be your y coordinate. Let's try 1 for x. (3*1)+4 = 7. So one of the sets for this function would be (1,7). Now if you didn't want a function just grab ordered pairs that don't have a specific rule to them
R=\{(1,2),(2,4),(3,6),(4,8),(5,10)\}

The set is a function because each element x of each pair (x, y) has a single corresponding y.