Calculate the volume of liquid that would fill the bowl of the glass. Show all your work.

Calculate The Volume Of Liquid That Would Fill The Bowl Of The Glass. Show All Your Work.

Answers

Answer 1

Answer:

52.36

Step-by-step explanation:

Formula to find volume in a cone is

V = pi • radius^2 h/3

So we fill in the numbers

V = pi •

the radius is half of diameter,

The diameter is 5

So it's

V = pi • 2.5

since it's half of 5

V = pi • 2.5^2 h/3

the height is 8 so we fill it in

V = pi • 2.5^2 8/3

When calculated, you get..

52.36

Answer 2

The volume of the liquid which can fill the bowl of the glass (in shape of cone) with the liquid is 49.74 cm³.

What is of volume of solid?

Volume of solid is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.

The volume of the cone can be given as,

[tex]V=\dfrac{1}{3}\pi r^2\sqrt{l^2-r^2}[/tex]

Here, (r) is the radius of the base of the cone and (l) is the slant height of the cone.

Here, the diameter of the cone is 5 cm. thus the radius of the cone is,

[tex]r=\dfrac{5}{2}\\r=2.5\rm cm[/tex]

The slant height of the cone is 8 cm. Thus, put the value to find the volume of cone as,

[tex]V=\dfrac{1}{3}\pi (2.5)^2\sqrt{(8)^2-(2.5)^2}\\V\cong 49.74\rm cm^3[/tex]

Thus the volume of the liquid which can fill the bowl of the glass (in shape of cone) with the liquid is 49.74 cm³.

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https://brainly.com/question/1355179


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Answer:

9*√3

Step-by-step explanation:

The exact value of Sin60 = √3/2

Sin(60)  = opposite side/ hypotenuse

hypotenuse = 18

√3/2 = x / hypotenuse

√3 / 2 = x / 18     multiply by 18

18 √3 /2 = x        divide by 2  

9 √3   = x

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Answer:

6) 121.2 sq meters

7) 40 sq ft

8) 70 sq meters

Step-by-step explanation:

#6 and 7:  base x height

#8: base x height / 2

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Answer:

All real numbers

Step-by-step explanation:

All vertical parabolas have a domain of all real numbers

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Answer:

32

Step-by-step explanation:

Jason opens a savings account with $50. Each week
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Answers

Answer:

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Step-by-step explanation:

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Answer:

i think its A

Step-by-step explanation:

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Answers

Answer:

sqrt (2) * sqrt(45) + sqrt (2) * sqrt (80)

45 = 9 *5 "9" is a perfect square so

sqrt (45) = 3 * sqrt (5) * sqrt (2)

sqrt (2) * sqrt (80)

80 = 16 * 5  "16" is a perfect square so

sqrt (2) * sqrt (80) = sqrt (2) * 4 * sqrt(5)

Adding both answers we get

3 * sqrt (5) * sqrt (2) = 3 * sqrt(10)

PLUS

4 * sqrt (10)

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7 * sqrt (10)

SO, the value of a is 7

Step-by-step explanation:

The temperature at 6 a.m was -12 degrees. At 11 a.m the temperature was 0 degrees. Which of the following shows the temperature change from 6 a.m to 11 a.m

Answers

Answer:

12 deg

Step-by-step explanation:

The change in temperature is the new temperature minus the old temperature.

0 deg - (-12 deg) = 0 deg + 12 deg = 12 deg

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) tan C
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45
36
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Answers

Answer:

36. 1193 or 33.12 degrees rounded

Step-by-step explanation:

Tan = opp/adj

Tan C = 27/37

Tan inverse (.729 . . .) = C

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Ms. Abreau is flying to Florida for the 90° Angle Conference, where the temperature s just right. Her plane is 1200 feet in the air and the runway is 3400 feet horizontally away. What is the angle of depression formed from the plane to the runway ? Round to the nearest tenth if necessary and just the number please in your answer, we know it is degrees.

Answers

Answer:

19.4 degrees

Step-by-step explanation:

Using the SOH CAH TOA trigonometry identity

Given

Height of plane from the ground= 1200 = adjacent

Horizontal distance = 3400ft = Adjacent

Required

angle of depression theta

tan theta = opp/adj

tan theta = 1200/3400

tan theta = 12/34

tan theta = 0= arccos.3529

theta=  (0.3529)

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Answers

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Step-by-step explanation:

[tex]{14}^{2} = {10}^{2} + {x}^{2} \\ {x}^{2} = {14}^{2} - {10}^{2} \\ {x}^{2} = 196 - 100 = 96 \\ x = \sqrt{96} = 9.79 = 9.8[/tex]

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Answers

Answer:

given radius =6

Area of triangle =1/2*base*height

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area of quadrant =1/4πr^2

=1/4*22/7*6*6=22/7*9=198/7=28.2

area of shaded region =area of quadrant -area of triangle

=28.2-18=10.2

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Answers

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Answers

Answer:

Option D, $2.71

Step-by-step explanation:

Step 1:  Figure out the height

[tex](5.4)^{2} + b^{2} = (17.2)^{2}[/tex]

[tex]29.16 + b^{2} = 295.84[/tex]

[tex]b^{2} = 266.68[/tex]

[tex]\sqrt{b^{2}} = \sqrt{266.68}[/tex]

[tex]b = 16.33[/tex]

Step 2:  Figure out the area

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[tex]A = \frac{5}{4} * tan(54) * (8)^{2} + 5 * \frac{(8)}{2} * \sqrt{(16.33)^{2} + (\frac{(8) * tan(54)} {2})^{2}}[/tex]

[tex]A = 454.77[/tex]

Step 3:  Figure out the price

[tex]454.77 * 0.006[/tex]

[tex]2.72862[/tex]

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Step-by-step explanation:

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Answers

Answer:

$82.50 is the discount.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Answers

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0. Multi-Step Nathanial has a dog walking
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Answer:

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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