Anju's office uses paper cups shaped like cones to serve water. Each cup has a maximum diameter of 8 cm and a height of 10 cm. Anju fills the cup to 3/4 of its height to prevent spills. What is the approximate volume of water in Anju's cup?

Answers

Answer 1

Answer: 126 cubic centimeters

Step-by-step explanation:

volume = (pi)(r^2)(1/3)(h)

diameter = 8 so radius = 4

4 squared is 16

multiply height by 3/4

10(3/4) = 30/4 = 15/2

Multiply this value by 1/3

15/2 x 1/3 = 15/6 = 5/2

(pi)(25)(5/2)

16x5/2 = 80/2 = 40

(pi)(40)

note: you can substitute 3.14 with pi or use actual pi depending on whether or not you have access to a calculator. they will both round to 196.

126 cubic centimeters

Answer 2

94.2 cubic centimeters is the approximate volume of water in Anju's cup.

To find the approximate volume of water in Anju's cup, we can calculate the volume of a cone using the formula:

Volume = (1/3) × π × r² × h

Given that the cup has a maximum diameter of 8 cm, the radius (r) would be half of that, which is 4 cm.

The height (h) is 10 cm, but Anju fills the cup to 3/4 of its height, so the filled height would be (3/4) × 10 cm = 7.5 cm.

Substituting these values into the formula:

Volume = (1/3) × π × (4 cm)^2 × (7.5 cm)

Volume = (1/3) × 3.14 × 16 cm^2 × 7.5 cm

Volume = 12.56 cm² × 7.5 cm

Volume = 94.2 cm²

Therefore, the approximate volume of water in Anju's cup is approximately 94.2 cubic centimeters (cm³).

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Related Questions

Question is below!!! 9 and 10!!!! Pls help

Answers

Answer:

  9. 1.75 m/s²; 8 s

  10. (12 6/7) °/s; (10 5/7) kt/s

Step-by-step explanation:

Acceleration is the change in velocity divided by the change in time.

__

9.

  (22 m/s -15 m/s)/(4 s) = 7/4 m/s² = 1.75 m/s²

The eagle's average acceleration is 1.75 m/s².

__

The relation can also be used to find the time for a given change:

  a = Δv/Δt   ⇒   Δt = Δv/a

  Δt = (22 m/s -8 m/s)/(1.75 m/s²) = 8 s

It would take the eagle 8 seconds to go from 8 m/s to 22 m/s.

__

10.

From north to south is a direction change of 180°. Then the rate of change is ...

  a = 180°/(14 s) = 12 6/7 °/s

__

From 75 knots north to 75 knots south (-75 knots, using north as a reference) the magnitude of the average acceleration is ...

  |-75 kt -75 kt|/(14 s) = 150/14 kt/s = 10 5/7 kt/s

Which is not a way to write the answer to this problem?

Answers

Answer:

D) .

Step-by-step explanation:

913 ÷ 29 ≈ 31

Factor completely by finding the greatest common factor:

12xy^4 − 21x^2y^5z + 36xy^3

Answers

Answer:

the common factor is 3xy³

therefore by factoring we get;

3xy³(4y-7xy²z+12)

Find the area of the rectangle
9mm and 16mm?

Answers

Answer:

144mm or 14.4 cm

Step-by-step explanation:

9 × 16 = 144mm

144mm = 14.4 cm

Multiply the length by the width so 9x16=144

144mm or 14.4cm

Which term of the arithmetic sequence 1, 3, 5, 7, ... is 99?
It is the
th term.

Answers

Answer:

it is the 50th tearm

Step-by-step explanation:

I just added '2' to '1' 50 times in a sense and got 99

What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box
Quick please!!!! 50 points!!

Answers

It is y=2x+2. The slope is 2 and the y intercept is 2

help i really need it :(

Answers

Answer:

The correct equation is [tex]2\frac{2}{3}+r = 3[/tex].

Why?

To find the correct answer we have to isolate r from the other numbers. To isolate r  from this equation, we have to subtract [tex]2\frac{2}{3}[/tex] from both sides of the equation. Remember that you can do whatever you need to one side of the equation, but you must do the exact same thing to the other side, so the equation remains the same value. By subtracting [tex]2\frac{2}{3}[/tex] from the equation, we get [tex]2\frac{2}{3}-2\frac{2}{3}+r=3-2\frac{2}{3}[/tex]. Simplify: [tex]r=\frac{1}{3}[/tex]. Therefore, answer D is the solution.

Good luck!

Four glasses of milk and 3 snack bars have a total of 96 carbohydrates (carbs), and 2 glasses of milk and 4 snack bars have
many carbs are in one glass of milk and in one snack bar,
total of 78 carbs. Determine how many carbs are in one glass of milk

Answers

Answer:

Each snack bar contains 12 carbs and each milk contains 15 carbs.

Step-by-step explanation:

Let M be the carbs in milk and S the carbs in a snack bar.

We are told:

4M + 3S = 96, and

2M + 4S = 78

===

We can eliminate one of the variables and then solve for the other.  Let's multiply the second equation by -2 and then add it to the first.  This will eliminate the M:

4M + 3S = 96

-4M - 8S = -156

-5S = - 60

S = 12

Each snack bar has 12 carbs.  Use either equation to find M.  I'll  use the second:

====

2M + 4S = 78

2M + 4*(12) = 78

2M + 48 = 78

2M = 30

M = 15

Each milk contains 15 carbs

Solve the inequality and enter your solution as an inequality.

X-4<6​

Answers

Answer:

x < 10

Step-by-step explanation:

Given: x -4 < 6​

Add four to both sides: x < 10

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

In the given figure ef is a straight line, find the value of x

Answers

The image is not clear.

what is the distance of E(7.3) and F (-2,6)

Answers

An(5.4)

Step-by-step explanation:

5/6 divided by 2 =?
Need answer soon!!

Answers

Answer:

0.416666667

Step-by-step explanation:

(winks and runs off)

Answer:

5/12

Step-by-step explanation:

5/6÷2

5/6÷2/1

5/6•1/2

5/12

help with this plesseee

Answers

Answer:

the length and width of rectangle could be (3cm and 7 cm ) & (1cm and 21cm) respectively.

Which is not a way to write the answer to this problem?

Answers

Answer:

D. 887 ÷ 43 ≈ 21

Step-by-step explanation:

1) x + x + 8x + 12 =​

Answers

☆Answer :

x + x + 8x + 12 = ...

= 2x + 8x + 12

= 10x + 12

~aljabar

x + x + 8x + 12

= 1x + 1x + 8 + 12

= (1 + 1 + 8)x + 12

= 10x + 12 ✔️

:)

Please help me please

Answers

Step-by-step explanation:

m +2 = 4

m = 2

x = 1

y +1 = 2

y = 1

z = -1

M=2
X= 1
Y=1
Z=-1
This is the answer to the equation.

Write an equation in Slope intercept form for the line that passes through the given point and has the given slope (-2,-3) , (4,5)

Answers

Answer:

[tex]y=\frac{4}{3}x-.333[/tex]

Step-by-step explanation:

Using the Slope Formula:[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex][tex]\frac{5-(-3)}{4-(-2)}=\frac{5+3}{4+2}=\frac{8}{6}=simplify=\frac{4}{3}[/tex]

Please help with this

Answers

Answer:

x = 27

Step-by-step explanation:

∠AB is 180° as it is a straight line. Then, we have 3 angles here, 2 known and 1 unknown. These angles have to add up to 180° as they just divide ∠AB into 3 sections. Solve for x with the given information:

[tex]36+90+2x=180\\126+2x=180\\2x=54\\x=27[/tex]

Answer:

x = 27

Step-by-step explanation:

pls pls pls pls PLEASEE help me :) ​

Answers

Answer:

3.07

Step-by-step explanation:

This is a multiple-step equation

1) Multiply together the costs of the ice cream

2) Multiply the cost of the movie

3) divide them into 5 ( five friends)

4) add those together then you have your answer

2/7 convert it into percentage
friends i only need solution i know the answer the one who answer i will mark them as brainleast

Answers

Answer:

22.22%

Step-by-step explanation:

2/7 = 0.22222...

Convert to a percent - move decimal over by 2

22.22

Answer:

≈ 28.57%

Step-by-step explanation:

To change a fraction to a percentage, multiply the fraction by 100% , that is

[tex]\frac{2}{7}[/tex] × 100%

= [tex]\frac{2(100)}{7}[/tex]

= [tex]\frac{200}{7}[/tex]

≈ 28.57% ( to 2 dec. places )

If p is inversely proportional to the square of q, and p is 8 when q is 3, determine p when q is equal to 2.

Answers

Answer:

16/3

Step-by-step explanation:

formula :

p = kq

k = 8/3

so that is k

it will be like this "p = 8/3 x"

p = 8 × 2 / 3

p = 16/3

cant divide 3 with 16.

so, "p = 16/3" is the answer

write the following ratios as fractions. 48 shoes 72 boots 64 hours and 2 days 147 rulers to 490 bags​

Answers

Answer:
1. 48/72 or 2/3
2. 64/2 or 32/1
3. 147/490 or 3/10
Explanation:

The sum of 3.25 and twice a number is -7.

What is the number? Enter your answer as a decimal.

n = ​

Answers

Answer:  -5.125

Step-by-step explanation:

Let X be the "number."

The sum of 3.25 and twice a number is -7.

3.25 + 2X = -7

2X = -10.25

X = -5.125

Answer:

n = -5.125

Step-by-step explanation: I took the test

What is the equation of the line in slope-intercept form?

Answers

Answer:

y=2x+1/2 or its y=2x+2

Step-by-step explanation:

Y intercept is when the line intercepts with the y axis, the straight line. In this case it is 4, so b=4

Slope is choosing two imaginary points and appyling the y2-y1/x2-x1 formula in this case is 5/2

Y=5/2x+4

plss help po
grade 11 student topic​

Answers

Answer:

1. f(3) = 11

2. f( 1 ) = 6

3. f(-2) = -5

Step-by-step explanation:

Note: I will only work on questions 1 and 2 in order to allow you to practice the techniques provided in this post, as you work on question 3.  However, I will provide the correct answer for question 3, as your reference.

In order to evaluate each of the given functions, simply substitute the inputs provided in the function notation, f(x).

1. f(x) = 2x + 5, find f(3).

To evaluate the given linear function, simply substitute x = 3 as an input into the function:

f(3) = 2x + 5

f(3) = 2(3) + 5

f(3) = 6 + 5

f(3) = 11

Therefore, the value of f(x) = 2x + 5 given f(3) is:  f(3) = 11.

2. f(x) = x² + 2x + 3, find f(1)

Similar to question 1, substitute x = 1 as the input of the given quadratic function.

f(x) = x² + 2x + 3

f( 1 ) = ( 1 )² + 2( 1 ) + 3

f( 1 ) = 1 + 2 + 3

f( 1 ) = 6

Therefore, the value of f(x) = x² + 2x + 3 given f( 1 ) is f( 1 ) = 6.

3. f(x) = 3x² + 5x - 7, find f (-2)

If evaluated properly, the correct answer is: f(-2) = -5.

Solve each inequality
-5y-2<8

Answers

Answer:

y > -2

Step-by-step explanation:

-5y-2<8

= -5y<8+2

= -5y<10

= y > 10/-5

∴ y > -2

Note: Anytime you multiply or divide both sides of the inequality, you must “flip” or change the direction of the inequality sign.

How do I know if the point will be above the line

Answers

Answer: Para demostrar cómo calcular esto, digamos que tenemos una línea que pasa por un punto p con dirección v, es decir, parametrizada como \ gamma (t) = \ mathbf {p} + t \ mathbf {v}.

Sea L una rotación de 90 grados hacia la izquierda. Entonces, un punto x está a la izquierda de su línea si \ langle \ mathbf {x} - \ mathbf {p}, L \ mathbf {v} \ rangle es positivo, a la derecha si es negativo, y en la misma línea si es cero.

Respuesta 2:

Una línea en un plano no tiene un lado preferido, por lo que sin algo que distinga los lados de una línea, no puede haber una cuestión de qué lado de una línea se encuentra un punto.

Sin embargo, puede preguntar si dos puntos en ese plano, no en la línea, se encuentran en el mismo lado de la línea. Si el segmento de línea entre esos dos puntos se cruza con la línea, entonces se encuentran en lados opuestos de la línea; de lo contrario, se encuentran en el mismo lado de la línea.

Respuesta 3:

Trace la línea en una gráfica, digamos x = y. Cualquier coordenada de un punto donde xey son =, entonces se encuentra en la línea (17,17).

Si x es mayor que y, nuestro punto estará por debajo de la línea (3,2).

Si y es mayor que x, el punto estará por encima de la línea (1,2).

Si su línea es y = 2x, entonces y tendría que ser mayor que 2x para estar por encima de la línea.

Nuestra comparación en este gráfico xy está por encima o por debajo. Esto se debe a que generalmente hacemos referencia a nuestra línea ay =. Si lo reescribimos como x =, nuestra misma línea comparada con x sería a la izquierda o derecha de.

Step-by-step explanationNuestra comparación en este gráfico xy está por encima o por debajo. Esto se debe a que generalmente hacemos referencia a nuestra línea ay =. Si lo reescribimos como x =, nuestra misma línea comparada con x sería a la izquierda o derecha de.:

Bus A and Bus B leave the bus depot at 9 am.
Bus A takes 30 minutes to complete its route once and bus B takes 40 minutes to complete its route once.
If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Assume the buses have no breaks in between routes.
Give your answer as a 12-hour clock time.


Please help x

Answers

Answer:

SteThe difference between climate change mitigation strategies and climate change adaptation is that mitigation is aimed at tackling the causes and minimising the possible impacts of climate change, whereas adaptation looks at how to reduce the negative effects it has and how to take advantage of any opportunities thap-by-step explanation:

objectivity in the interpretation of data is referred to as

Answers

In philosophy, objectivity is a central concept that generally denotes an objective and impartial approach to something. The opposite is subjectivity.

That something is objectively true, an objective truth, means that it is true regardless of subjectivity. Objectivity is usually an ideal in connection with research, as the result is expected to be as independent of the researcher's opinions or ideas as possible.

Objectivity is often also emphasized as a basic ideal in journalistic work. An important question in philosophy is whether it is possible to experience something objectively.

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Hal has just graduated from four years of college. For the last two years, he took out a Stafford loan to pay for his tuition. Each loan had a duration of ten years and interest compounded monthly, and Hal will pay each of them back by making monthly payments, starting as he graduates. Hal’s loans are detailed in the table below. Year Loan Amount ($) Interest Rate (%) Subsidized? Junior 4,048 5. 9 N Senior 5,295 7. 6 Y Once all of his loans are paid off, what will Hal’s total lifetime cost be? Round all dollar values to the nearest cent. A. $9,023. 28 b. $8,467. 20 c. $11,498. 40 d. $13,615. 20 Please select the best answer from the choices provided A B C D.

Answers

Answer:

d

Step-by-step explanation: i chose d

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