(a) Cup A has a diameter of 10 cm. and a height of 20 cm. Find the Volume of Cup A.
(b) Determine how many cups of punch the punch bowl will fill using Cup size A. Round the number of scoops to the nearest whole number, and make certain to show your work.
(c) Cup B has a diameter of 20 cm. and a height of 20 cm. Find the volume of Cup B.
(d) Determine how many cups of punch the punch bowl will fill using Cup size B. Round the number of scoops to the nearest whole number, and make certain to show your work.
Can someone help me with this?

Answers

Answer 1

The volume of cup A is 1570.8 cm³ while the volume of cup B is 6283 cm³

Volume

Volume is the amount of space occupied by a three dimensional object or figure.

The cup has the shape of a cylinder, the volume is:

Volume = π * radius² * height

For cup A:

Volume = π * (10/2)² * 20 = 1570.8 cm³

Let each punch be 1 cm³, the number of cups needed = 1570.8 cm³ / 1 cm³ = 1571

For cup B:

Volume = π * (20/2)² * 20 = 6283 cm³

Let each punch be 1 cm³, the number of cups needed = 6283 cm³ / 1 cm³ = 6283

The volume of cup A is 1570.8 cm³ while the volume of cup B is 6283 cm³

Find out more on Volume at: https://brainly.com/question/1972490


Related Questions

Please answer it would mean so much to me :)

Answers

Answer:

y = [tex]\frac{1}{3}[/tex] x + 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x + y = 4 ( subtract 3x from both sides )

y = - 3x + 4 ← in slope- intercept form

with slope m = - 3

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-3}[/tex] = [tex]\frac{1}{3}[/tex]

Given c = 2 , then

y = [tex]\frac{1}{3}[/tex] x  + 2 ← equation of perpendicular line

Raj had 12 gallon of orange juice. He used ​89 of the juice to make punch.

Raj used this expression to find the amount juice he used to make punch.

12×89

How much orange juice did Raj use to make punch?

Enter your answer as a fraction in simplest form by filling in the boxes.


⊂⊃ gal
-------
⊂⊃

Answers

Answer:

4/9

Step-by-step explanation:

Finally, I can put my answer!

I need help:( plss help:(((((​

Answers

Answer: 3 is B 4 is A

Step-by-step explanation:

Ellen flipped a coin 80 times. the coin landed heads up 44 times and tails up 36 times. what is the theoretical probability of landing tails up? Please help me!

Answers

Answer:

36/80 chance of landing on tails, or a 45% chance .

Ryan made 3 pitchers of juice. Each pitcher holds 9 glasses of juice. How many glasses in total did Ryan make?

Answers

Answer:

27 glasses

Step-by-step explanation:

If one pitcher holds 9 glasses,

and

there are 3 pitchers,

multiply 9 by 3.

9×3 = 27

when y=3 and x= 1/2
1.4(2y-4x)-1=
2. 4x^2+2y^3-10=
3.4(x^+1)+2x+3y=

Answers

Answer:

1. 15

2. 45

3. There is a missing digit.

Step-by-step explanation:

Given:  y=3 and x= 1/2

Question 1: 4(2y-4x)-1=Numerical factors in this term have been multiplied.

4(6-4/2)-1

We can reduce this fraction by dividing both numerator and denominator by a common numeric factors.

4(6-2)-1

Numerical terms in this expression have been added.

4*4-1

Numerical factors in this term have been multiplied.

16-1

Numerical terms in this expression have been added.

15

Question 2: 4x^2+2y^3-10 =

4/2²2*27-10

4/2²+54-10

We need to perform a multiplication.The following rule is applied:[tex]\frac{A}{B} C=\frac{AC}{B}[/tex]

45: Numerical factors in this term have been multiplied.

solve this please and thank you​

Answers

Answer:

∠ x = 20°

Step-by-step explanation:

Complementary angle sum to 90° , so

2x + x + 30 = 90°

3x + 30 = 90° ( subtract 30 from both sides )

3x = 60° ( divide both sides by 3 )

x = 20°

Answer:

X = 70

Step-by-step explanation:

[tex]x + 30 + 2x = 90 \\ 3x - 30= 90 \\ x - \frac{30}{3} = \frac{90}{3} \\ x - 10 = 30 \\ Add 10 to \: both \: sides: \\ x-10+10=30+10 \\ Simplify \: the \: arithmetic: \\ x=30+10 \\ Simplify \: the \: arithmetic: \\ x=40[/tex]

Which set of side lengths form a right triangle?


8 cm, 17 cm, 14 cm

50 in., 48 in., 14 in.

3 ft, 6 ft, 5 ft

53 m, 48 m, 24 m

Answers

Answer:

50, 48, 14

Step-by-step explanation:

Go through them one by one. The side lengths of a triangle should all plug in to the formula a^2 + b^2 = c^2. The longest side is always c because it is the hypotenuse. The other two sides are interchangeable.

8^2+ 14^2 should equal 17^2.

That simplifies to

64+196=289

That can't be true because the units digits add to 10 instead of 9.

The same method applies to 3, 5, and 6 but from experience I know that this already isn't an option.

For 50, 48, and 14, you can divide everything by 2, resulting in 25, 24, and 7.

576+49 should equal 625.

That is true.

For 53, 48, and 24

576+2304 should equal 2809.

That isn't true, it equals 2880.

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS

Answers

Answer:

-8 vertical in negative one horizontal

Step-by-step explanation:

Mark me brainliest!!

Answer:

[tex]\huge\boxed{\text{D) 1 vertical and 8 horizontal}}[/tex]

Step-by-step explanation:

If you simply look at the point at the vertex of the right angle of both triangles, you can see that in figure 1 the point is at (-5, 1) and in figure 2 it is (3,2).  The shift between the x and y are 8 in the x and 1 in the y.

Hope it helps :)

Which of the rectangles below have an area of 18 cm"?

A 3x6cm rectangle
B 2x9cm rectangle
c5x4cm rectangle
D9x2cm rectangle

Answers

the answer would be a, b, & and d

Mrs. Jame's bedroom has a perimeter of 46 feet. If the length of the bedroom is 11 feet. What is the width of the bedroom?​

Answers

Answer:

[tex]i \: dont \: kow \: the \: answer[/tex]

Salamat

Please help will give brainiest

Answers

Answer:

heres your answer  hope this helps

brainliest please

Answer:

person above is right

Step-by-step explanation:

Answering this to give them brainliest

Joey has three john jacob jack Jacob is older than john but younger than Joey. Jack is younger than john list all four brothers in oldest to youngest

Answers

Answer: 1.joey 2. jacob 3.jhon 4. jack

Step-by-step explanation:

Answer:

Joey, Jacob, Johnathan, Jack

Step-by-step explanation:

Joey has three brothers = 4 total

Jacob is older Jonathan but younger than Joey. Jack is younger than Jonathan.

Remainder theorem is a subject in ------------​

Answers

Answer:

Further Mathematics...

Answer:

a theorem in algebra: if f(x) is a polynomial in x then the remainder on dividing f(x) by x − a is f(a)

hope this is right, if so then...

Pls, choose me as brainliest!

In Mona’s new video game she earns 30 points for each fish caught and 80 points for each octopus captured, but she loses 15 points every time she captures a crab. Which expression represents the total number of points Mona will earn if she catches xfish, y octopi, and z crabs?

95(x+y-z)

110(x+y)-15z

30x+80y-15z

30+x+80+y-15+z

Answers

Answer:

Third one

Step-by-step explanation:

30x would be 30 times the amount of fish (x)

+ 80y would be 80 times the amount of octopus captured (y)

- 15z would be subtracting 15 times the amount of crabs she captures

Two numbers have a sum of 10 and a product of 24.
The smaller of the two numbers is which of the following.
2
4
6
3

Answers

Answer:

the Answer is 4 and 6

Step-by-step explanation:

4 + 6 = 10 but 4 x 6 = 24

A skateboard is on sale for 20% off. The sales tax is 6% what is the final cost of the skate board if it originally costs $85

Answers

Answer:

$72.08

Step-by-step explanation:

the discount is $17.00 making the skateboard $68.00

the sales tax of the $68.00 board is $4.08

this makes the total cost of the board $72.08

PLEASE GIVE ME THE ANSSWERSSS PLEASEEE I NEED ITTT RIGHT NOW I HAVE A IMAGE ATTACHEEDDD

Answers

The points H = (3,7); J = (0,4); K = (-1,8) and M = (-3,-4) can either be a relation or a function

The domain is: [-3,-1,0,3]The range is: [-4,4,7,8]The ordered pair is a functionThe range of the table is [tex]y \ge 0[/tex]

The graph of the points

The points are given as:

H = (3,7); J = (0,4); K = (-1,8) and M = (-3,-4)

See attachment for the graph of the points

The domain of the points

This is the set of the x coordinates of the points

Hence, the domain is: [-3,-1,0,3]

The range of the points

This is the set of the y coordinates of the points

Hence, the range is: [-4,4,7,8]

How to determine if the ordered pair is a function

Recall that the points are:

H = (3,7); J = (0,4); K = (-1,8) and M = (-3,-4)

Rewrite the points using mapping

[tex]\left[\begin{array}{c}3&0&-1&-3\end{array}\right] \to \left[\begin{array}{c}7&4&8&-4\end{array}\right][/tex]

None of the x values point to multiple y values.

Hence, the ordered pair is a function

How to complete the table

The function is given as:

[tex]f(x) = x^2[/tex]

When x = -1, we have:

[tex]y = (-1)^2 =1[/tex]

For other values, we have:

[tex]y = (0)^2 =0[/tex]

[tex]y = 1^2 =1[/tex]

[tex]y = 2^2 =4[/tex]

Hence, the complete table is:

[tex]\left[\begin{array}{ccc}x&f(x) = x^2&f(x)\\-1&y= (-1)^2&1\\0&y= 0^2&0&1&y= 1^2&1&2&y= 2^2&4\end{array}\right][/tex]

Hence, the range of the function is [tex]y \ge 0[/tex]

Read more about graphs and functions at:

https://brainly.com/question/13473114

How to find circumcenter of a triangle with vertices.

Answers

Answer:

The circumcenter of a triangle is defined as the point where the perpendicular bisectors of the sides of that particular triangle intersect. In other words, the point of concurrency of the bisector of the sides of a triangle is called the circumcenter. It is denoted by P(X, Y). The circumcenter is also the centre of the circumcircle of that triangle and it can be either inside or outside the triangle.

Step-by-step explanation:

Steps to find the circumcenter of a triangle with vertices are:

Calculate the midpoint of given coordinates, i.e. midpoints of AB, AC, and BC

Calculate the slope of the particular line

By using the midpoint and the slope, find out the equation of the line (y-y1) = m (x-x1)

Find out the equation of the other line in a similar manner

Solve two bisector equations by finding out the intersection point

Calculated intersection point will be the circumcenter of the given triangle

Find the radius of a circle if a 28 foot chord is 6 feet from the center of the circle. (Must be

perpendicular. ) Find the exact value and then round to the nearest hundredth.

Answers

Check the picture below.

3) Which data sets have more than one mode?

1,2,3,4,5,6,7

1,3,3,3,3,5,6

1,2,2,3,4,6,6

1,5,6,6,6,7,8

1,1,1,2,2,2,4

1,2,2,2,2,3,4


Answers

Answer:

1,2,2,3,4,6,6  and  1,1,1,2,2,2,4

Step-by-step explanation:

Mode means the number that occurs the most often/frequent. If there are two numbers that occur the same amount of times with the highest frequency, there will be two modes. If all the numbers occur the same amount of times, there will be no mode.

1,2,3,4,5,6,7

Mode: no mode

1,3,3,3,3,5,6

Mode: 3

1,2,2,3,4,6,6

Mode: 2 and 6

1,5,6,6,6,7,8

Mode: 6

1,1,1,2,2,2,4

Mode: 1 and 4

1,2,2,2,2,3,4

Mode: 2

The answer is: 1,2,2,3,4,6,6  and  1,1,1,2,2,2,4

Hope this helps :)

Have a nice day!

Answer:

q

Step-by-step explanation:

lhfcgaosdhvasdouv

please answer these questions.

Answers

13) 5:4
14)12:54
15)10:1
16)3:5
17) 21:6
18)5:1
19)5:6
20)11:12

Answer:

Step-by-step explanation:

[tex]13) \dfrac{5}{x}=\dfrac{20}{16}[/tex]

In the numerator, 20 ÷ 4 = 5

So, x = 16 ÷ 4 = 4

5 : 4 = 20:16

14)

[tex]\dfrac{2}{9}=\dfrac{12}{x}[/tex]

In the numerator, 2*6 = 12

So, x = 9*6 = 54

2:9 = 12 : 54

15)   [tex]\dfrac{x}{1}=\dfrac{30}{3}[/tex]

In the denominator 3 ÷ 3 = 1

So,  30 ÷ 3 = 10

10 : 1 =  30 : 3

[tex]16)\dfrac{x}{5}=\dfrac{21}{35}[/tex]

In the denominator, 35 ÷ 7 = 5

x = 21 ÷ 7 = 3

3 : 5 = 21 : 35

[tex]17) \dfrac{21}{x}=\dfrac{7}{2}[/tex]

In the numerator, 7 *3 = 21

So, x = 2*3 = 6

21: 6 = 7 : 2

50 points! AND BRAINLIEST!!!

Answers

Answer:

A 1/4

Step-by-step explanation:

I WILL GIVE BRAN;IEST IMAGE BELOW

Answers

Answer:

21/100 or 0.21

Step-by-step explanation:

21 8th graders have a cell phone and don't have a tablet out of 100 students.

Please Help Me !!! Its A Math Question !!What is the domain of the quadratic equation that contains the following points?

(-2, 4), (-1, 1), (0, 0), (1, 1), (2, 4)

Question options:

(−∞,∞)

[0,∞)

(0,∞)

Answers

Answer:

(-infinity, inifinty)

Step-by-step explanation:

the domain should be all real numbers of this quadratic

Pls help meeeeeee I can only give brainly if multiple people answer

Answers

Answer:

x=4 y=6

Step-by-step explanation:

y=−1/2x+8;3x+4y=36

Step: Solvey=

−1/2x+8for y:y=−1/2x+8

Step: Substitute

−1/2x+8foryin3x+4y=36:

3x+4y=363x+4(−1/2

x+8)=36

x+32=36(Simplify both sides of the equation)

x+32+−32=36+−32(Add -32 to both sides)

x=4

Step: Substitute4forxiny=

−1/2x+8:y=−1/2x+8

y=−1/2(4)+8

y=6(Simplify both sides of the equation)

Answer:

x=4 and y=6

[tex]3x+4y=36\\y=-\frac{1}{2} x+8\\\\[/tex]

Since we know the value of y in the second equation, let us plug it into the first equation

[tex]3x+4(-\frac{1}{2} x+8) = 36\\3x-2x+32 = 36\\x = 4[/tex]

Now let us plug our known value of x into the second equation, [tex]y=-\frac{1}{2} x+8[/tex]

[tex]y=-\frac{1}{2} x+8 =- \frac{1}{2} *4+8 = 6[/tex]

So x = 4 and y = 6

Hope that helps!

Will give brainilest if correct Element X decays radioactively with a half life of 15 minutes. If there are 770 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 32 grams?

Answers

Answer:

The time it'd take for the element to have 15 g of mass is approximately 68 min.

Step-by-step explanation:

The radioactive decay of a substance is given by the following formula:

Since the element has a half life of 12 minutes, this means that after this time the mass of the element will be half of it was originally, therefore:

Therefore the mass of the element is given by:

If the initial mass is 760 g and the final mass is 15 g, we have:

The time it'd take for the element to have 15 g of mass is approximately 68 min.Step-by-step explanation:



Jose and David each had to rent cars for their company. Jose rented some vans and some SUVs in
California$312.
David rented some vans and SUVs in Nevada. The cost for renting vans is $12 and the cost for renting
SUVs is $3, the total he paid was $264.

Answers

Answer:

[tex]\left \{ {{x+y=312} \atop {12x+3y=264}} \right.[/tex]

Step-by-step explanation:

The suvs have to add together

what is 38x +59=299x -89

Answers

X=148/261

hope this helps

Answer: x 148/261

Step-by-step explanation:

38

There are ………………..rational numbers between 2 and 3

Answers

Answer:

Infinite many

Step-by-step explanation:

There are infinite many rational numbers between 2 and 3.


I hope it helps! Have a great day!

Muffin ^^

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