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stealth61 [152]
3 years ago
7

A graduated cylinder is filled with 36\pi36π36, pi cm^3 3 start superscript, 3, end superscript of liquid. The liquid is poured

into a different cylinder that has a radius of 333 cm. What will the height of the liquid be in the new cylinder?
Mathematics
1 answer:
barxatty [35]3 years ago
8 0
The height will be 4 cm.

Explanation
<u />The volume of a cylinder is given by the formula V=πr²h.  For a volume of 36π cm³ and a radius of 3 cm,

36π = π(3²)h
36π = 9πh

Divide both sides by 9π:
36π/9π = 9πh/9π
4 = h
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The horizontal distance from the base of the skyscraper out to the ship is 485.2 feet.

<h3>What is trigonometric ratio?</h3>

Trigonometric ratio is used to show the relationship between the sides and angles of right angled triangle.

Let d represent the horizontal distance from the base of the skyscraper out to the ship. Since the angle of depression is 67°, hence:

Angle = 90 - 67 = 23°

Using trig ratio:

tan(23) = d/1143

d = 485.2 feet

The horizontal distance from the base of the skyscraper out to the ship is 485.2 feet.

Find out more on trigonometric ratio at: brainly.com/question/24349828

5 0
2 years ago
3. f(x) = 2x + 5<br> Find f(0)
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Answer:

5

Step-by-step explanation:

f(x) = 2x + 5 \\ pluggng \: x = 0 \\ f(0) = 2 \times 0 + 5 = 0 + 5 = 5 \\ f(0) =5 \\

8 0
3 years ago
A bottom of a 6 foot deep circular pool has an area of 452.4 ft. If the pool is only
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450.4

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6 0
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In New York a crowed subway has 375 passengers distributed between 5 cars. What is the unit rate for each subway car?
Andrews [41]
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7 0
3 years ago
Please help with math question! This question is stressing me out (View Image)
TEA [102]
To find the volume of this one we need to break it down 
now i see half of a cylinder and rectangle:)
but first lets find the volume of the rectangle...
In order to find the Volume of a rectangle we need to use this formula...
Length x width x height 
in this case...
length = 10in
width = 6 in 
height = 8in
lets solve:)
10 x 6 x 8 = 480
or we write it like this 
480in³

now time to find the volume of the half cylinder:)
But first lets remember the volume for a cylinder
Volume = \pi r^{2} h
So lets find our measurements 
\pi = 3.14
r² = 5² or 25
h = 6 
so lets plug in our values just like our formula said:)
3.14 x 25 x 6 
now lets easily solve 
<span>3.14 x 25 x 6 = 471
</span>now since we found an entire cylinder and we only want half of a cylinder lets divide our answer in half
471 ÷ 2 = 235.5
so we write it like this 235.5units³
But we have to add both of our multiples together so lets do that
Volume of rectangle = <span>480in³
</span>volume of half sphere = 235.5units³
480 + 235.5 = 715.5
answer = 715.5units³
I hope this helped and everyone learned something new
anyways don't forget to
MARK ME BRAINLIEST! :D
3 0
3 years ago
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