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

You and your friend are selling magazine subscriptions for a fundraiser after W weeks if you have sold (4w+1) subscriptions and your friend has sold (8w+6) subscriptions

Answers

Answer:

(4w+1)-(8w+6)

Step-by-step explanation:

Hope this helps :)

what 1.9 divided by 4

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1.9 dived by 4 = 0.475

Answer:

0.457

Steps bye step explanation:

HELP ASAP WILL GIVE BRAINLIEST OR MORE POINTS

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Answer:

the first option

Step-by-step explanation:

hope this help have a great rest of your night :)❤

What is the value of x?

Answers

Answer:

more ... The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Answer:

[tex]x = 12[/tex]

Step-by-step explanation:

For resolve this problem I use trigonometry identities.

[tex]sin(\theta) = \frac{OP}{H}[/tex]

Where [tex]\theta[/tex] is the angle of the triangle (45), [tex]OP[/tex] is the opposite side of the angle ([tex]6\sqrt{2}[/tex]) and the [tex]H[/tex] is the hypotenuse ([tex]x[/tex]).

Replace the know values in the relation

[tex]sin(45) = \frac{6\sqrt{2}}{x}[/tex]

Isolate [tex]x[/tex] of the equation and solve

[tex]\frac{6\sqrt{2}}{sin(45)} = x\\\frac{6\sqrt{2}}{\frac{\sqrt{2}}{2}} = x\\\frac{12\sqrt{2}}{\sqrt{2} } = x\\12 = x[/tex]

So the final answer is [tex]x = 12[/tex]

16 is equal to the difference of twice a number p and 8.

Answers

16 = 2(p+8) I believe this is correct based on the wording of the question

Use the linear combination method to solve the system of equations. *Explain each step of your solution.

2x - 3y = 13
x + 2y = 4

Answers

Step 1: We have the next system of equations -

[tex]2x - 3y = 13[/tex]

[tex]x + 2y = 4[/tex]

Step 2: Now, we will multiply by -2 the second equation:-

[tex] - 2(x + 2y) = 4[/tex]

[tex]→ - 2x - 4y = - 8[/tex]

Step 3: Then we add it :-

[tex]2x - 3y = 13[/tex]

[tex]( + ) \: - 2x - 4y = - 8[/tex]

Step 4: After finding the sum, we simplify:-

[tex] - 7y = 5[/tex]

[tex]→y = - \frac{5}{7} [/tex]

Then, substitute the above y value to find x's value in any equation of Step 1. Now, I used to second equation in Step 1:-

[tex]x = - 2( \frac{ - 5}{7}) + 4[/tex]

Step 5: Then simplify :-

[tex]y = \frac{38}{7} [/tex]

Therefore, the final answer is :-

[tex]x = \frac{38}{7} [/tex]

and

[tex]y = \frac{5}{7} [/tex]

---------------------------------------------

Answered by Benjemin360 ☺️

The perimeter of rectangle is 100m. If the length is decreased by 2m and the breadth is increased by 3m, The area increases by 44m². Find the length and breadth of rectangle? ​

Answers

length=22m

breadth=14.67

Determine whether each function is even, odd, or neither.
f(x) = x²_9

g(x) = |x-3

f(x) = 22-1

g(x) = x + x2

Answers

Od even od even im not shure about 3

The solution a+b>-9 is a >-25. What is the value of b

Answers

Answer: b > 16

Step-by-step explanation:

Because a > -25, b must be at least greater than 16, as if a is -25.1, for example, b must be 16.11.  

i need this one fast too so if you can please help fast

Answers

Y=-5 (-6, -5) is the answer

To reach his office on time, Mr Chin usually drives to work at an average speed of 75 km/h. However, if Mr Chin increases his average driving speed by 5 km/h, he will reach his office 10 minutes earlier. If the distance Mr Chin needs to travel to reach his office is represented by x km, form an equation in x and solve for x.

Answers

Answer:  x = 200 km

Step-by-step explanation:

Distance(x) = Speed(s) x Time(t)

t is in hours

x=s*t

At 75km/h:  75*t = x

At 80km/h:  80*(t-(10/60)) = x  [the -(10/60) is the 10 minutes saved, in hours]

We know the distance, x, is the same, so we can set these equal to each other:

75*t = 80*(t- (10/60))

75*t = 80*t - 13.3333

-5*t = -13.3333

t = 2 2/3 hours

Both situations should give the same distance with 2 2/3 and 2 2/3 - :

x = (75 km/hr) x ( 2 2/3 hr)= 200 km

x = (80 km/hr) x (2 2/3 - 1/6 hr) = 200 km


Joe is making a rectangular frame in woodshop class. The length of the frame is 2 inches
longer than the width of the frame. The perimeter of the frame is 24 inches. Write an
equation that could be used to determine w, the width in feet, of the frame.

Answers

Answer: The width is 5.

Step-by-step explanation:

'(2+w)+(2+w)+2w=24

4+4w=24

W=5

What is the slope of a line that passes through the points (8, 3) and (−3, 3)?
A. -8
B. 0
C. 1
D. undefined
Pasagot nga po, need ko na po kasi now

Answers

Answer:

0

Step-by-step explanation:

m = 3-3/8-(-3)

m = 0/11 = 0

The answer is B and it is 0

Which is the reciprocal of 1 6/7

Answers

Answer:

7/13

Step-by-step explanation:

You would first have to turn the fraction into an improper fraction to find the reciprocal of the fraction!

1 6/7 = 13/7

Reciprocal means reverse, so reverse the improper fraction of 13/7 to get 7/13!

I hope this helps you!

3. What is 5% of 120?
A. 5
B. 6
C. 10
D. 12

Answers

Answer:

B

Step-by-step explanation:

5% of 120

= [tex]\frac{5}{100}[/tex] × 120

= 0.05 × 120

= 6

Hello, ive been having issues with a quite easy topic. Slopes of lines? I dont really know how to solve this.

Answers

you would count the amount of squares going up then count the squares going horizontal, so then it would be 5/3 hole this helps:)

What is the slope of the line that passes through the two following points?
(2,-5),(-1,4)

- 1/3
- -1/3
- 3
- -3

Answers

-3 because 4- -5 is 9 and -1 -2 is -3 and if you put 9/-3 you get -3/1 and -3/1 simplified is -3
Hey, so you use y= y2-y1/ x2-x1
y= 4-(-5)/-1-2
y= 9/-3
y= -3

Therefore, the slope of the line is y=-3

NEED ASAP ! WORTH 20 POINTS

What is the slope of this line?



Enter your answer as a whole number or a fraction in simplest form in the box.

Answers

Answer:

-1

Step-by-step explanation:

Using the formula to find gradient or slope:

m = (y2 - y1)/ (x2 - x1)

Using any two points from the graph: (-2, 0) (0, -2)

Substitute this into the equation to get the answer of -1.

Solve and graph each of the following. Show your work to receive full credit.5x – 6 – 8x ≤ 9

Answers

Answer: x> or equal to -5

Step-by-step explanation:

5x – 6 – 8x ≤ 9

Combine the lioe numbers

-3x-6≤ 9

+6 to both sides

-3x≤ 15

Divide by a -3 to both sides

X>or equal to -5

Hope that helps

Clara writes the equation (x â€"" 13)(x 8) = 196 to solve for the missing side length of a rectangle represented by the factor x 8. What is the missing side length represented by x 8 units of the rectangle? 7 15 20 28.

Answers

Answer:

The Answer is 28.  Please mark the brainliest! And thanks!

Step-by-step explanation:

Did with a teacher!

Which expression is equivalent to -2v+(-4)+(-3v)? A -5 B 7v C -6v+5 D -5v+ 4

Answers

Answer:

-5v+4

Step-by-step explanation:

Remove the parentheses and combine the like terms:  

-2v + (-4) + 8 + (-3v)

-2v -4 + 8 -3v    [Remove parentheses]

-5v +4                [Combine like terms]

-5v +4      


The midpoint of AB = ([?], [ ])

Answers

Answer:

I believe it is (0,0)

Step-by-step explanation:

the midpoint can be found by adding the x values together and dividing by 2 for your midpoint x , and doing the same with the ys for the y value

for the x:

(1+-1)=0

0/2=0

and for the y:

(2+-2)=0

0/2=0

making it (0,0)

Suzie has 672 marbles. She wants to put the marbles into 5 containers, each with the same amount. How many marbles will be in two containers?

Answers

Answer:

there would be 67.2 in 2 containers

Step-by-step explanation:

if you take 672 and divide that by 5 you get 134.4 so if you take that number and divide it by 2 you would get 67.2   hope this helps

What is an equation of the line that passes through the points (-6, -2) and
(-3, 2)?

Answers

Answer:

y = (4/3)x - 2/3

Step-by-step explanation:

From (-6, -2) to (-3, 2) we see the x-component changing by 3 units and the y-component by 4 units.  Thus, the slope of this new line is

m = rise / run = 4/3.  

Let's focus on the point (-3, 2).  Here x = -3 and y = 2.  Plugging these three values into the slope-intercept form of the equation of a line, we get:

2 = (4/3)(2) + b.

Then 2 = 8/3 + b, or 6/3 = 8/3 + b.  Thus, b = 6/3 - 8/3, or -2/3.

The equation of the desired line is y = (4/3)x - 2/3

Answer:y=4/3x+6

Step-by-step explanation:

Which pair of sneakers has the lowest sale price?

A) 20% off $35
B) 10% off $29
C) 15% off $30
D) 30% off $38

Answers

The answer is A because you have to take 20/100-35 and you do the same for A-D

15% off $30 has lowest sale price. Therefore, option C is the correct answer.

What is sale price?

A sale price is the discounted price at which goods or services are being sold.

A) 20% off $35

20/100 ×35

= 0.2×35

=$7

Sale price =35-7=$28

B) 10% off $29

10/100 ×29

= 0.1×29

= 2.9

Sale price =29-2.9

= $26.1

C) 15% off $30

15/100 ×30

= 0.15×30

= 4.5

Sale price =30-4.5

= $25.5

D) 30% off $38

30/100 ×38

= 0.3×38

= $11.4

Sale price=38-11.4

= $26.6

Therefore, option C is the correct answer.

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In the year 2010, there were 100g of a certain radioactive isotope. Now there are 70g in 2020 remaining. In what year will there be only 25 left?

Answers

Answer:

2035

Step-by-step explanation:

2010=100g

2020=70

100-70=30

70-30=40

2030=40

Answer:

Somewhere in 2038

Step-by-step explanation:

In 2010 in there was 100g of a certain radioactive isotope

In 2020 now there’s 70g of a certain radioactive isotope

what changed,?

In 10 years they lost 30g of radioactive isotope

Therefore

Year 2030 there will be 50g

Year 2035 there will be 35g

Year 2040 there will be 20g

But we want to get 25g in how many years

1 year takes 3g

2 year takes 6g

3 year takes 9g

4 year takes 12g

But we need to take away 10g from 35 so it’ll be between somewhere between 2038 maybe half year..

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

count the following atoms
NEED ANSWER ASAP​

Answers

Answer:

30

Step-by-step explanation:

There are 5 Zn atoms, 5 S atoms and 20 O atoms. In total, you have 30 atoms.

Answer:

30

Step-by-step explanation:

the difference of 3 times a number and 2 times that same number is 80.what is the number

Answers

(3n - 2n) = 80
n = 80

on donne A(-1,2). Determiner les coordonnées du point B tel que AOB soit un triangle direct,rectangle et isocèle en O.

Answers

Answer:

donald trump

Step-by-step explanation:

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