Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 7 feet and a height of 7 feet. Container B has a radius of 4 feet and a height of 19 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?

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%

On a coordinate plane, how are the locations of the points (-1, 6) and (-1, -6) related?
A.
locations unrelated
B.
reflection across both axes
C.
reflection across the x-axis
D.
reflection across the y-axis

Here is a number line with some points labeled.

a. Write the number at A as a fraction

HELP ME PLS!!!!!!!!!!!!!!!!!!!!!!!!!!!!

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My table:

Heads, Heads
15
Heads, Tails
9
Tails, Heads
16
Tails, Tails
10
Total
50
Also, please explain your answer.

Plz help pic is below thanks!

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C. 7(s + d) - 25

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5
4
3-
2-
1
1 2 3 4 5 X
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-2-
-3
-4
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Quadrant
O Quadrant II
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CLEAR CHECK

Number line labeled 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Bracket from 0 to 3 labeled 3, bracket from 3 to 6 labeled 3, and bracket from 6 to 9 labeled 3. Number 9 on line is circled and labeled 9 cups of flour.

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Based on your data, what is the experimental probability that the family has two dogs or two cats​

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Write one or more inequalities to describe the temperatures T that are between the high and low temperature on that day.


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