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).

To learn more on Volume click:

https://brainly.com/question/13798973

#SPJ2


Related Questions

Written as a rate, 15 miles in 10 hours would be ____ miles per hour.

Answers

Answer:

1.5 mph

Step-by-step explanation:

To find the Unit Rate, you need to divide 15 miles by 10 hours to get the # of miles per hour.

15/10 = 1.5

1.5 miles per hour.

What is the length of the altitude to the longest side of a triangle, if the lengths
of its sides are
15 cm, 17 cm, 8 cm

Answers

Answer:

hb ≈ 7.06cm

Step-by-step explanation:

Using the formulas:

A=hbb

2

A=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c

2

Solving for hb

hb=﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4

2b=﹣154+2·(15·17)2+2·(15·8)2﹣174+2·(17·8)2﹣84

2·17

≈7.05882cm

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

In the number 78.018, how does the value of the 8 in the thousandths place compare to the value of the 8 in the ones place?

Drag and drop a fraction into the box to correctly complete the statement.

The value of the 8 in the thousandths place is Response area the value of the 8 in the ones place.




Answers

The value of the .008 is 1/1000 the value of 8

Each digit the decimal place moves can be thought of as multiplying or dividing the original value by 10 (depending on which way it is moved)

Answer:

1/1000

Step-by-step explanation:

Red At Santa's workshop, Jingles
the Elf sampled candy canes. He found
that 18 candy canes were broken. This
number represented 15% of the total
number of candy canes he inspected.
What was the total number of candy
canes Jingles sampled?

Answers

Based on the total number of candy canes damaged and the proportion of the total it was, the total inspected was 120 candy canes.

Assuming the total number of candy canes inspected is x, the relevant formula would be:

18 = x × 15%

Solving for x would give us:

18 = 0.15x

x = 18 / 0.15

= 120 candy canes

In conclusion, 120 canes were sampled.

Find out more at https://brainly.com/question/529563.

On a coordinate plane, 4 points are plotted. The points are (1, 4), (2, 6), (3, 9), (4, 13.5).
Which statements are true for the given geometric sequence? Check all that apply.

The domain is the set of natural numbers.
The range is the set of natural numbers.
The recursive formula representing the sequence is f(x + 1) = Three-halves(f(x )) when f(1) = 4.
An explicit formula representing the sequence is
f(x) = 4(three-halves) Superscript x
The sequence shows exponential growth.

Answers

Answer: See below.

Step-by-step explanation:

The domain is the set of natural numbers.   Yes

The range is the set of natural numbers.      Yes

The recursive formula representing the sequence is f(x + 1) = Three-halves(f(x )) when f(1) = 4.  Yes   See attachment

An explicit formula representing the sequence is

f(x) = 4(three-halves) Superscript x     No  See attachment

The sequence shows exponential growth.   Yes

Answer:

1,3,5 are correct. please ignore the other person.

Step-by-step explanation:

50 points!! :D

not sure how to do this :/

Answers

Answer:

1

Step-by-step explanation:

x - 5 = -2( x + 1 )

=> x - 5 = -2x - 2

=> x + 2x = 5 - 2

=> 3x = 3

∴ x = 1

How much would it cost Matt to buy 2½ metres? when it is 9.50 per metre

Answers

Answer: 23.75

Step-by-step explanation:

Could someone help me with these all these questions below
And no file please.
Use the information below to answer the questions:
Hastings 45 km Dover 108 km
Brighton 22 km Coventry 209 km
London 77 km Birmingham 172 km

1. How far is Hastings to the nearest 10 km?
2. How far is Brighton to the nearest 10km?
3. How far is London to the nearest 100km?
4. How far is Dover to the nearest 100km?
5. Approximately how far would you travel if you drive to London and then to Coventry?
6. Approximately how far would you have travel if you drive to Brighton, London and then Birmingham?

Answers

Answer:

1. 50km 2. 20 3. 100km 4. 100 5. 300 (rounded to the 100's) or 290 (rounded to the 10's) 6. 270 (to the nearest 10's) 300 (to the nearest 100's)

Step-by-step explanation:

1.

45

5=>5

Answer 50

2.

22

2<5

Answer 20

3.

77

7>5

Answer 100

4.

108

0<5

Answer 100

5.

Answer 300 or 290

(Based on the answer above)

6.

300 or 270

(Based on the answer above)

Which is the graph of linear inequality 6x + 2y > –10?

On a coordinate plane, a dashed straight line with negative slope goes through (negative 2, 0) and (0, negative 6). Everything to the right of the line is shaded.

On a coordinate plane, a dashed straight line with negative slope goes through (0, 6) and (2, 0). Everything to the right of the line is shaded.

On a coordinate plane, a dashed straight line with positive slope goes through (0, negative 6) and (2, 0). Everything to the right of the line is shaded.

On a coordinate plane, a dashed straight line with positive slope goes through (negative 2, 0) and (0, 4). Everything to the right of the line is shaded.

Answers

Hope it helps :) and let me know if you want me to explain why

Answer:

A

Step-by-step explanation:

DECYPHERED

John is having a new deck built. He paid $485 for the required materials, and he will pay his brother $25 an hour to build the deck

Answers

Answer:

The answer is not finished but if John is buying the materials and paying for the labor then the answer will be $510.

Step-by-step explanation:

I’m sorry if I didn’t help but the answer is not written out enough…

if you are graphing a system of equations, but the graph doesn't give you enough space to plot the y intercept or slope, what do you do? HELP ASAP

Answers

I’ve been there and I think it most likely means that you’re plotting it wrong. The graph should always have space for you to graph the problem correctly.

How many minutes is 6:45 to 9:25 ?

Answers

Answer:

It is 15 minutes from 6:45 to 7:00. From 7:00 to 9:25 it is 2 hours and 25 minutes. Note: one hour is 60 minutes.

15 + 60(2) + 25

15 + 120 + 25

160 minutes

:)

A-project-of-construction-of-a-building-can-be-completed-by-150-workers-in-40-days-But-project-manager-brought-30-more-workers-after-16-days-In-how-many-days-will-the-remaining-work-be-finished

Answers

Answer:

In the second scenario after 16 days, 150 workers would have completed 150*16=2400 worker days. That leaves 6000-2400=3600 worker days remaining. If you add 30 workers, it would take 3600/180=20 days longer to complete. So, the entire project would take 16+20=36 days to complete.

can someone help with this question

Answers

Answer:

<1= 60

<2=120

<3=60

<4=60

<5=120

<6=120

<7=60

Step-by-step explanation:

Help anyone please and thank you

Answers

the answer would 1/4 of a gallon

simply because 4 of the containers equals one gallon

PLZ HELP ASAP
Find the length of X ​

Answers

x = 5

explanation:

3 + 4.5 = 7.5 to get the side of the big triangle

set up a proportion

[tex]\frac{3}{7.5} =\frac{2}{x}[/tex]

3x=7.5(2)..........cross multiply

3x=15.................multiply

x=5.....................divide both sides by 3

Answer:

Step-by-step explanation:

[tex]\frac{3}{2} =\frac{7.5}{x} \\[/tex]

3x = 15

x = 5

what is 6/2(1+2)=?give with expiation

Answers

Step-by-step explanation:

6/2 (1+2) = 3(3) = 9.

hope this helps you.

Answer:

9

Step-by-step explanation:

First you need to multiply 6/2 or 3 by the numbers in the ( ) 6/2 x 1 and 6/2 x 2. You will get 3 and 6. 3+6= 9

I need help on this pls

Answers

[1] Complementary means the angles will add up to 90 degrees

 () Blank one is BOC

 () Blank two is 90

 () Reason blank I am unsure as I do not know the wording that is being looked for, but it is either "given," "complementary angles" or something similar

[2] Since AOC is equal too BOC + 30, we can decide the following is true

 () First blank is BOC

 () Second blank is 30

[3] 30°

 () BOC + BOC + 30 = 90 [Given]

    2(BOC) = 60 [Subtract 30 from both sides & combine like terms]

    BOC = 30 [Divide by 2]

[4] 60°

 () 90 - 30 = 60

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

Please help! urgent! A-E questions
no links!!!!!

A. Name a line parallel to KI.
B. Name a line skew to KI
C. Name a plane parallel to plane KIJ.
D. Name a line parallel to plane GJI.
E. What is a difference between parallel lines and skew lines? ​

Answers

Answer:

a. KJ

b. GF

c. HFG

d. FIJ

e. parallel lines will never intersect, skew lines are crooked and not in line with another specified line.

Step-by-step explanation:

hope this helps :)

Use the solution for the system to find x - y

3x - 2y = 10

2x + 3y = -2

Answers

Answer:

solution is (3,-1/2)

Step-by-step explanation:

Solve for the unknown side of each right triangle

Answers

x is 9.1 accordingly to the phytagores therom

estimate how full each container is.

Answers

5/8 might be a great estimate.

Answer:

5/8

Step-by-step explanation:

the answer is 5/8 hope you get answer right.

Which number is greater explain your reasoning .375 or 3/8? help!

Answers

Answer: Neither is greater, they are perfectly equal. Or If it's a trick question, 0.375

Step-by-step explanation:

3 divided by 8 equals 0.375, no rounding or anything. I'm not sure if it is more of a trick, brain melting question, then in that case 0.375 because I suppose it could be a rounded number that represents numbers such as 0.3751, 0.3752, etc.

I need help on this question

Answers

What question did you eat the last day?

For a ride on a rental scooter, Rafael paid a $6 fee to start the scooter plus 8 cents per minute of the ride. The total bill for Rafael's ride was $18.64. For how many minutes did Rafael ride the scooter?

Answers

Answer:

  158 minutes

Step-by-step explanation:

If m represents the number of minutes Rafael rode, his total bill is ...

  0.08m +6.00 = 18.64 . . . . cost to start plus cost based on time

  0.08m = 12.64 . . . . . . . . . . subtract 6

  m = 12.64/0.08 = 158 . . . . divide by 0.08

Rafael rode the scooter for 158 minutes.

Marc has 45 books on his bookshelf, and Corinna has 61. If Marc buys 4 new books each month and Corinna buys 2 new books each month, after how many months will Marc and Corinna have the same number of books?

Define the variable:_________________________________________



Write the equation: _________________________________________


Solve the equation in the space below. Show your work

Answers

Call x as the number of months that Marc and Corinna have the same number of book.
45 +4x= 61 +2x
4x- 2x= 61-45
2x= 16
x= 8

Five students sold lemonade and earned a total of $21.30. If they equally split their earnings, how much would each student receive?

Answers

Answer:

$4.26 each

Step-by-step explanation:

21.30 divided by 5 equals 4.26

(had to do it in words because I only have + - = )

Answer correctly and u get the brainiest and 20 points! Which equation has a solution of r = 1/3?

3r=1/3

2/2/3+r=3

r−1=2/3

4r = 12

Answers

Answer:

Your answer is the second one.

Hope this helps!

Step-by-step explanation:

3 * 1/3 is 1, not 1/3

2 2/3 + 1/3 is equal to 3 and the answer is 3

1/3 - 1 is negative 2/3, not 2/3

4 * 1/3 is 4/3, not 12

Answer: I just keep getting [tex]r=\frac{1}{3}[/tex]

Help me with this hw plz

Answers

Answer:

here

Step-by-step explanation:

А. parallelogram .............

Answer: A
Step-by-step explanation:
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