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wlad13 [49]
2 years ago
12

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 11 feet and

a height of 18 feet. Container B has a radius of 12 feet and a height of 14 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full.
To the nearest tenth, what is the percent of Container A that is full after the pumping is complete?
Mathematics
1 answer:
Inessa [10]2 years ago
8 0

Answer: The percentage ≅ 48.4%

Step-by-step explanation:

* Lets revise how to find the volume of a container shaped cylinder

- The volume of any container = area of its base × its height

- The base of the cylinder is a circle, area circle = 2 π r,

where r is the length of its radius

* In container A:

∵ r = 13 feet , height = 13 feet

∴ Its volume = π (13)² × (13) = 2197π feet³

* In container B:

∵ r = 9 feet , height = 14 feet

∴ Its volume = π (9)² × (14) = 1134π feet³

* So to fill container B from container A, you will take from

container A a volume of 1134π feet³

- The volume of water left in container A = 2197π - 1134π = 1063π feet³

* To find the percentage of the water that is full after pumping

is complete, divide the volume of water left in container A

by the original volume of the container multiplied by 100

∴ The percentage = (1063π/2197π) × 100 = 48.3841 ≅ 48.4%

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C(x)=x^2+6x+14 find vertex form
nalin [4]

Answer:

c(x)=(x+3)^2+5

Step-by-step explanation:

To complete the square, the same value needs to be added to both sides.

So, to complete the square x^2+6x+9=(x+3)^2 add 9 to the expression

C(x) =x^2 +6x + 9 + 14

Since 9 was added to the right-hand side also add 9 to the left-hand side

C(x) +9= x^2 +6x + 9 + 14

Using a^2 + 2ab + b^2=(a+b)^2, factor the expression

C(x)+9= (x+3)^2 +14

Move constant to the right-hand side and change its sign

C(x)=(x+3)^2 +14 - 9

Subtract the numbers

C(x)= (x+3)^2 +5

6 0
2 years ago
I need help finding the answers to these questions thank you soo much!!!!
anzhelika [568]
Hopefully this helps you ..
3 0
3 years ago
The sum of three consecutive odd numbers is 183. What is the second number in the sequence?
atroni [7]

Answer:

61

Step-by-step explanation:

If you want only the middle number, then call it x

the largest of the 3 is x + 1

The smallest of the 3 is x - 1

Add

x + 1 + x - 1 + x = 183 Cancel the 1s out.

x + x + x  = 183          Combine the like terms on the left

3x = 183                     Divide by 3

x = 183/3                    Do the division

x = 61

The middle number is 61

5 0
3 years ago
What is this value???????
dexar [7]

Step-by-step explanation:

I got 12 for the answer.

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