A cylinder shaped container has a radius of 20 meters and a height of 100 meters. A glass sphere with a radius of 12 meters is placed inside the cylinder shaped container and then the container is completely filled with water.

What is the approximate volume of water contained in the cylinder?

Use 3.14 for pi.

Responses

24,165 m³
24,165 m³

31,400 m³
31,400 m³

118,365 m³
118,365 m³

125,600 m³

Answer: The area of the shaded region is 50.24 square centimeter

Step-by-step explanation:

The given parameters are: -- the diameter of the big circle -- the diameter of the small circleStart by calculating the area of the big circle, using:So, we have:Next, calculate the area of the small circle, using:So, we have:The difference between the areas is the area of the shaded region.So, we have:Substitute known values Hence, the area of the shaded region is 50.24 square centimeter

Answer:

Step-by-step explanation:

Infinitely many.

The two equations are the same yet formatted differently. Because these lines will overlap each other, the answer is infinitely many.

Answer:

$902.49

Step-by-step explanation:

Answer:

Step-by-step explanation:

the mean would be 86 because you add them all together and then divide the sum by the amount of numbers there.

all the answers added = 946 then you do 946 divided by 11 which gives you 86.

the minimum is just the lowest and maximum is the highest number so minimum is 59 and maximum would be 122.

the range is the lowest to the highest so the range is 59-122.

Answer: $9602.50

Step-by-step explanation:

The initial price is $8,350. If the price is marked up by 15%, then the retail price will be 115%, or 1.15 times, the initial price.

[tex]8,350 * 1.15 = 9602.5[/tex]

Answer:

19%

Step-by-step explanation:

Percentage tip = (Tip/Dinner cost) x 100

Percentage tip = ($5.32/$28) x 100

Percentage tip = 0.19 x 100

Percentage tip = 19%

Therefore, Cooper gave a 19% tip on his dinner.

Answer: 19%

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

cut the shape into 3 rectangles and one square

3 × 1.5 = 4.5

3 × 1.5 = 4.5

3 × 1.5 = 4.5

3 × 1.5 = 4.5

3 × 3 = 9

4.5 + 4.5 + 4.5 + 4.5 + 9 = 27

Answer:

Step-by-step explanation:

V = w*l*h      

Using the information it provides, we know the base is 45, which is the w*l.

V = base * h

   = 45 * 4

   = 180 [tex]in^{3}[/tex]

Answer:

the square(r)=90 degrees and a triangle = 180 degrees so angle g=55

Step-by-step explanation:

Answer:1/30

Step-by-step explanation:

Answer:

42°

Step-by-step explanation:

This is defined as a transversal in geometry, where one line intersects two straight lines.

It is given that one of the angles is 42°. Let the angle that measure 42° be denoted as ∠42.

∠4 ≅ ∠42 based on the alternate interior angles theorem.

∠4 ≅ ∠7 based on the vertical angles theorem.

Therefore, ∠42 ≅ ∠7 based on CPCTC.

Therefore,

m∠7 = 42°.

~

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Answer:Answer:

 27 cm²

Step-by-step explanation:

There are many ways the figure can be decomposed into parts for which you know the area formula. The total area is the sum of the parts.

__

decomposition

We recognize that each of the tabs is twice as long as wide, so is half a square. The 4 tabs together make 2 squares that are 3×3 cm. Of course, what remains after removing the tabs is a 3×3 cm square in the middle of the figure.

sum of parts

Then the total area is that of 3 squares measuring 3 cm × 3 cm:

 A = s² = (3 cm)² = 9 cm² . . . . . area of one square

 total area = 3A = 3(9 cm²) = 27 cm²

The area of the figure is 27 cm².

Answer:

 27 cm²

Step-by-step explanation:

There are many ways the figure can be decomposed into parts for which you know the area formula. The total area is the sum of the parts.

__

We recognize that each of the tabs is twice as long as wide, so is half a square. The 4 tabs together make 2 squares that are 3×3 cm. Of course, what remains after removing the tabs is a 3×3 cm square in the middle of the figure.

Then the total area is that of 3 squares measuring 3 cm × 3 cm:

 A = s² = (3 cm)² = 9 cm² . . . . . area of one square

 total area = 3A = 3(9 cm²) = 27 cm²

The area of the figure is 27 cm².

_____

Alternate solution

The figure can also be considered to be a 6 cm × 6 cm square with four 1.5 cm × 1.5 cm squares removed from its corners. Then the area is ...

 (6 cm)² -4(1.5 cm)² = (36 -4(2.25)) cm² = 27 cm²

Step-by-step explanation:

1/5= 3/15

2/3= 8/12

5/6= 25/30

8/11= 56/77

3/7= 18/42

Answer:

Step-by-step explanation:

(i) = [tex]\frac{3}{15}[/tex]
(ii) = [tex]\frac{8}{12}[/tex]
(iii) = [tex]\frac{5}{6}[/tex]
(iv) = [tex]\frac{56}{77}[/tex]
(v) = [tex]\frac{18}{42}[/tex]
hope this helps

Answer:

True

False

False

True

False

Option 1 : 1/20 × 200

Option 3 : 10

Above options are only correct for the given question.

First of all, let us calculate the value of 5% of 200

⇒ 5/100 × 200 = 1/20 × 200 = 10

Now, check each option whether they give the same value i.e., 10.

Option 1 : 1/20 × 200

⇒ 1/20 × 200 = 10

Hence, the above expression is equivalent to 5% of 200.

Option 2 : 1/5 × 200

⇒ 1/5 × 200 = 40

Hence, the above expression is not equivalent to 5% of 200.

Option 3 : 1/2 ÷ 200

⇒ 1/2 ÷ 200 = (1/2) × (1/200) = 1/400

Hence, the above expression is not equivalent to 5% of 200.

Option 4 : 10

This option is correct as the value of 5% of 200 is 10.

Option 5 : 5

This option is incorrect as the value of given expression is 10.

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Answer58

Step-by-step explanation:

Answer:

Both Sam and Amelia cannot be correct at the same time, as they make contradictory statements about the weight of the heaviest bean bag in comparison to the lightest bean bag.

Let's assume the weight of the lightest bean bag is 'x'. According to Sam, the weight of the heaviest bean bag would be twice as heavy as the lightest bean bag. Therefore, the weight of the heaviest bean bag would be 2x.

On the other hand, Amelia states that the heaviest bean bag is three times as heavy as the lightest bean bag. Therefore, the weight of the heaviest bean bag would be 3x.

Since Sam says the heaviest bean bag is 2x, and Amelia says it is 3x, their statements cannot both be true. Therefore, either Sam or Amelia is incorrect.

In conclusion, we cannot determine who is correct without further information, such as the actual weights of the bean bags.

Answer:

3:4

Is the required answer

Answer: definitely ADB and ADC and BDC ADB

Answer:47

Step-by-step explanation:

x=180-(102+31)

X=47

Answer: for the first ss, c > 32

we can say this is true because she needs to buy MORE THAN 8 pound of candy, for 4 dollars each, given that the question wants us to find the amount of MONEY she spends on the candy, you have to factor in that each pound of candy equals 4 dollars, 4 x 8 = 32, but it needs to be a greater than inequality because she wants to buy MORE THAN 8 pounds of candy.

for ss number 2. your answer is 58, and i honestly cannot explain how i got the answer, other than literally plugging in numbers

kind of an annoying answer, im sorry, but i really couldnt explain ss 2 if i tried

also looking back at ss 1 let me know if there is more to that question since i might have looked at it wrong, the answer holds true, but they might be looking for more than 1 way to find that answer

Answer: I came here for math then I found this

Answer:

Sorry but NO

Step-by-step explanation:

Answer:

1. 504 < 1512

2. 12 > 0

3. -2 = -2

4. -1 < 2

Step-by-step explanation:

Given that both sides are being changed by the same amount and sign, the sign never changes. They always have the same value.

Answer:

Point (−8, 6), and it is 11 units away