The volume of a cone is 80π cubic units. The radius of this cone is tripled.

Eric says the new volume will be tripled. It is 240π cubic units.
Natalie says the new volume will be multiplied by 9. It is 720π cubic units.
Who is correct? Explain your reasoning.

Answers

Answer 1
Natalie is correct. The volume of a cone is given by the formula:

V = (1/3)πr^2h

Where V is the volume, r is the radius, and h is the height. If the radius of a cone is tripled, the volume of the cone will be multiplied by 9. This is because the radius is squared in the formula, so tripling the radius is the same as multiplying it by 3*3=9.

To see this more clearly, consider the following example:

Suppose the radius of a cone is 2 units and the height is 4 units. The volume of the cone is:

V = (1/3)π(2^2)(4) = (1/3)π(4)(4) = (1/3)π(16) = 16π/3 cubic units

If we triple the radius of the cone to 6 units, the volume of the cone becomes:

V = (1/3)π(6^2)(4) = (1/3)π(36)(4) = (1/3)π(144) = 144π/3 cubic units

The volume of the cone has been multiplied by 9.



Please brainliest if you’re satisfied

Related Questions

Eliza and Arielle are running on a track. Eliza ran 100 meters in 20 seconds. Arielle ran 150 meters in 35 seconds. Who ran faster?

Answers

Answer:

Step-by-step explanation: eliza ran 5 and 4.285714286

soooo eliza

Answer:

Eliza

Step-by-step explanation:

Calculate each of their speeds in like terms, then compare to find out who ran faster.

Eliza's speed = distance / time = 100 meters / 20 seconds = 5.0 meters / second

Arielle's speed = distance / time = 150 meters / 35 seconds = 4.3 meters / second

Eliza's speed is 5.0 meters / second, which is faster than Arielle's speed of 4.3 meters / second.

Therefore, Eliza ran faster.

Can someone please answer this for me?

Answers

Hello:

--> let's consider what the question asks for:

       --> solve the system of equations

As the equations are written:

 --> they set functions of x equal to y

    --> let's set both functions of x equal to each other as they are both

         equal to y

         [tex]4x-3=-2x+9\\4x+2x=3+9\\6x=12\\x=2[/tex]

Since x = 2:

 --> let's find 'y' by plugging x into either equation  

     [tex]y=4x-3=4(2)-3=8-3=5[/tex]

Answer: (2,5) or x = 2 & y = 5

 

Jan had $219 in her savings account she withdraws $6 a week to buy lunch. Assuming she does not deposit any more money. Write a linear function to represent how much money (y) jan will have after x weeks

Answers

Answer:

y = 219 -6x

Step-by-step explanation:

The money she will have remaining (y), will be the amount of money she started with subtracted by the amount of money spent each week multiplied by the number of weeks (x)

help, please
m + 19 21 = 17 21

Answers

Because the sum is lower than one of the values, m will be a negative number.

1721 - 1921
= -200

1713
People WHO are Vaccinated and Still Spreading Covid via The Delta Variant Is Killing More People Than The Delta Variant Has Killed More People Than Ever Before via The Delta

Calculate the markdown when the original cost is $1.75, the markdown is 20%.

Markdown amount:

Retail price:

Answers

Answer:

Markdown price: $0.35

Retail price: $1.40

Step-by-step explanation: First, let's find and use the formula for a markdown:

20% can also = 1/5

So, we can do this in 2 ways:

(1st way): Part percent * whole number / 100

Plug in the numbers:

1.75 * 20 / 100

= 0.35

Or:

1.75 / 1/5

=0.35

Now, subtract 0.35 from 1.75, and you get $1.40 as your retail price. I hope this helps! Can you please mark me as brainliest?

markdown .35 retail 1.40

(Please show your work & use the formula)

Answers

Answer:

$10

Step-by-step explanation:

profit=20%

cp=$50

now,

profit=profit % of cp

20×50÷100=$10

A piece of rope 20m 40cm long was cut into 20 equal pieces. Calculate the length of each piece

Answers

Answer:102 cm/ 1 meter 2 cm

Step-by-step explanation:

20m in cm is 2000cm, when added to the other 40cm it’s equal to 2040cm, divide it by 20, it’ll give 102cm.

Please help me ASAP!!!!

Answers

Answer:

thats food is it supposed to be math?

Step-by-step explanation:

Answer:  The variables are How much money they are making and what the price is.

Please help!!!!!!!!!!!!! I'll do anythinggggggggggggggg

Answers

Answer:

I know this will likely be unhelpful but i believe that the 6 parts that she cut = 0.97

Step-by-step explanation:

Answer:

0.95

Step-by-step explanation:

that is all i know

Helpppp plssss. Dis is hard.

Answers

Answer:

Step-by-step explanation:

Number of peaches Cassie sold yesterday  = 32 + p

Number of peaches Connor sold today = 41 - p

Someone gave u answer go get ‘‘em tigers good

pls help before 7 00

Answers

The first one the rate of change should be -1 because it’s 3/3 slope

For interpreting its meaning put ( For every one second the bird is diving it looses 10 feet in altitude )
And for part b of number 3
Say ( the relation ship is proportional because the rate at which the bird is diving is constant )

A parallelogram-shaped tapestry has a base of 6 feet and a height of 5 feet.

Explain how you would find the area of the tapestry. What is the area?

Answers

So the area would be

The Base x height for example

A = 6 x 5 = 30f

Can someone pls help me with this

Answers

Answer:

Step-by-step explanation:

for pictorial draw 1/2 stick of butter, 2 eggs, and a cup with dots like tons of dots on top for your one cup of sugar.

for Al write 1/2B+2E+1S

hope it helps

Which of the following tables represents a linear relationship that is also proportional?


x −1 0 1
y −3 −2 −1

x −2 0 2
y −3 0 3

x −2 0 2
y 0 2 3

x −2 0 2
y 2 4 6

Answers

The table that represents a linear relationship that is also proportional is:

x - 2 0 2

y - 0 2 4

This is because the ratio between y and x is constant, which is the definition of proportionality. In this case, the ratio is 0/(-2) = 2/0 = 4/2 = 0, which is undefined but still a constant. The other tables do not have a constant ratio between y and x.

Which of these can be expressed as a power of 5? Please show the steps
A) 22 + 32
B 5 + 5 + 5 + 5 +5 + 5
C) 4 × 4 × 4 × 4 × 4
D) (7 - 2) × (7 - 2) × (7 - 2)

Answers

Answer: C

Step-by-step explanation:

C because it is 4 x 4 x 4 x 4 x 4 (or 4 times itself 5 times).

The required expression that can be expressed in the power of 5 is 4 × 4 × 4 × 4 × 4. Option C is correct.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

A)
22 + 32 = 54

Cannot be expressed as a power of 5

Similarly, B 5 + 5 + 5 + 5 +5 + 5 and D) (7 - 2) × (7 - 2) × (7 - 2) cannot be expressed in the power of 5

But,
(C) 4 × 4 × 4 × 4 × 4, can be expresses in power of 5,

4 × 4 × 4 × 4 × 4 = 4¹⁺¹⁺¹⁺¹⁺¹⁺ = 4⁵

Since in multiplication of the common number is equal to that number sum of the exponents such as a×a = a²

Thus, the required expression that can be expressed in the power of 5 is 4 × 4 × 4 × 4 × 4. Option C is correct.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ1

On a boat, a cabin's window is in the shape of an isosceles trapezoid, as shown below. What is the area of the window?

Answers

Answer:

600

Step-by-step explanation:

add 10 + 10, 15 + 15, and add the two pairs and multiply by each other (20 x 30) and get 600 cm squared

the answer would be 600

The following box plot shows the number of hours students have spent on math this week. What information can you get from this?

1)The median number of hours spent on Math was about 3.
2)The mean number of hours spend on Math was about 3.
3)All students spent between 1.875 and 3.75 hours on Math.
4)No students spent less than 1.875 hours on Math

Answers

Answer:

gggggggggggggggguasibashbiuavycbajbcuagcyavucvsuvda

Step-by-step explanation:

I need help with this. Pls.

Answers

You need to multiply 9 and 8 to find the total money made. So 9x8= 72, $72 is your answer. An algebraic expression could be 9x where you can sub in any number of hours into the x to find your answer. For example: 9(8)=72

Answer: hope this helps ♡

He has made $72 so far this week.

Step-by-step explanation:

$9 = 1 hour

8 hours = 1 week

9×8 = $72   (He has made $72 so far this week.)

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

t = number of hours

9×t = $ (this algebraic expression describes how much he makes in t hours

A gym charges $8 for each swimming class and a one-time registration fee of $12 to join the the gym. A student pad a total of $60. How many swim classes did the student take. The equation that represents this situation is : _____(use 's' to represent each swim lesson and do not put any spaces in your equation)

The number of swim classes taken is ______.

Answers

Answer:

60=8s+12

# of swimming lessons taken- 6

The answers is 60=8s+12

A gamer is observing her score, y, as she plays a video game. She currently has 3,800 points and is gaining 350 points for every minute, x, she plays.

Which of the following equations can be used to describe this linear relationship?

y = 350x + 3,800
y = 350x − 3,800
y = 3,800x + 350
y = 3,800x − 350

Answers

The first one, y = 350x + 3,800

50 POINTS!!!The following box plot shows the number of hours students have spent on math this week. What information can you get from this?

The median number of hours spent on Math was about 3.
The mean number of hours spend on Math was about 3.
All students spent between 1.875 and 3.75 hours on Math.
No students spent less than 1.875 hours on Math.

Answers

Answer: The median number of hours spent on Math was about 3.

The median number of hours spent on math is 3

Describe the graph of y = -|x + 4| - 5. (at least a sentence)

Answers

The domain is all real numbers. Forms a graph with a function. There is no x intercept.

y = -|x + 4| - 5 the answer would be (4,5)

What is the solution for the system of linear equations shown in the graph?

A: three fourths comma negative one fourth
B: three halves comma negative one half
C: three halves comma negative three halves
D: negative one fourth comma three fourths

Answers

The answer is D. Negative one fourth comma three fourths
D is the answer to this question I’m glad I could help !!

What did one Poppy seed say to the other?

Answers

I’m on a roll!!!!!!!!!!

A bicycle wheel has a diameter of 26 inches. What is the circumference to the nearest hundredth? (don't mind answer that I put)

Answers

Answer:

B. 81.68

Step-by-step explanation:

The diameter of the bike tire is 26 inches. Given. The radius of the bike tire is 26/2=13 inches. The circumference is 2(Pi)(13)= 81.68 inches, rounded to the nearest hundredth.

You use the formula 2(pi)(r).
Your diameter is 26, divided by 2 to get the radius, 13.

Working out:
2 * (pi) (13)

Should give you the answer of B.

Please help me due tomorrow

Answers

Answer: Surface Area = 2 x (5x2 + 3x2 + 5x3) = 62 centimeters

Surface area of a right rectangular prism = 2(lh + wh + lw)

Step 1: Label the Given-

Length (l) = 5cm,      Width (w) = 3cm,      Height (h) = 2cm

Step 2: Replace the given-

Surface Area = 2 x (5x2 + 3x2 + 5x3)

= 2 x (31)

Surface Area = 62 centimeters

Horus got his answer, by applying only what lays inside the parentheses. To get the right answer, Horus must multiply what they got by 2:

2 x (31) = 62 centimeters

Answer:

SA= 15+6+10+10+15+6 = 62

Step-by-step explanation:

take your top rectangle multiply length and width= 15

Take the one right below it take the 2cm, and multiply it with 3=6

after that one doe 3x5 again=15

Then, 3x2=6

And then 5x2=10

And then once more=10

Two pizza restaurants are next door to each other and have lunch special signs in their windows. Restaurant A says their lunch special is 75% off and originally cost $10.50. Restaurant B has the same lunch special for 50% off when it originally cost $8.99. Calculate the price of each lunch special.

Restaurant A:

Restaurant B:

Answers

Answer:  I’m very sorry but I think  Restaurant A.

Step-by-step explanation:  But I do hope this helps<3

Answer:

Restaurant A = about $2.63 Restaurant B = about $4.50

Step-by-step explanation:

Restaurant A

$10.50 × 75%

1050 75

___ × ___

100 100

Cancel out the common factor of 25

1050 3

___ × ___

100 4

Multiply

3150

___

400

7.875 discount

$10.50 - 7.875 = 2.625 ~ $2.63

Restaurant B

$8.99 /2 = $4.495

p% = p

-----

100

899 50

____ × ____

100 100

Reduce the fraction

899 1

___ × ____

100 2

Multiply

800

____

200

4.495

8.99 - 4.495 = 4.495 ~ $4.50

look at the middle question part b

Answers

Answer :Put them in a different order like backwards

Step-by-step explanation:

84, 72, 48,38,24,12

84, 72, 48, 36 ,24 ,12

The ordered pairs (−2,3), (1,3), (1,−3), and (−2,−3) represent vertices of a polygon on the coordinate plane. What is the area of the polygon? 9 square units 9 square units 36 square units 36 square units 24 square units 24 square units 18 square units. Please help my head hurts and i cant figure this out

Answers

hope this helps if not im sorry i will fill bad if this dont helps

The water flow rate through an 8-inch pipe is 1600 gallons per minute. The water flow rate through a 4-inch pipe is 260 gallons per minute. A 6- inch pipe has a water flow rate at one half of the rate of an 8-inch pipe.
PART A ; complete the equation to relate the flow of water from the 8inch pipe, E, to the flow of water from the 4inch pipe, F

E- _______ F

PART B ; Complete the equation to relate the flow of water from the 8inch pipe, E.

S=____E

Answers

The equation that relates the flow of water through a 8-inch pipe to a 6-inch pipe is y = .

What is the equation?

Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.

In order to determine the equation, divide the flow of water through a 8-inch pipe by the flow of water through a 6-inch pipe

1600 / 260 = y = 6 12/13 f

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