Cone a and cone b both have a height of 5 in. The volume of cone a is 20.9cubic in, the volume of cone b is 4 times the volume of cone a, about how many times longwr is the diameter of cone b than the diameter of cone a?

Answers

Answer 1

Answer: two times

Step-by-step explanation:

Given

height of cone A and B  [tex]h_a=h_b=5\ in.[/tex]

The volume of cone A  [tex]V_a=20.9\ in.^3[/tex]

The volume of cone B is 4 times of cone A

the volume of a cone is  [tex]\frac{1}{3}\pi r^2h[/tex]

The volume of cone A

[tex]V_a=\dfrac{1}{3}\pi r_a^2h_a=20.9\quad \ldots(i)[/tex]

The volume of cone B

[tex]V_b=\dfrac{1}{3}\pi r_b^2h_b=4\times 20.9\quad \ldots(ii)[/tex]

divide (i) and (ii) we get

[tex]\Rightarrow \dfrac{r_a^2}{r_b^2}=\dfrac{1}{4}\\\Rightarrow \dfrac{r_a}{r_b}=\sqrt{\dfrac{1}{4}}=\dfrac{1}{2}\\\Rightarrow \dfrac{d_a}{d_b}=\dfrac{1}{2}\\\Rightarrow d_b=2d_a[/tex]

thus, diameter of cone B is twice the diameter of A


Related Questions

PLEASE HELP MEE
Which of the following is an example of the law of syllogism?
A.
If a plant is bamboo, then it is a grass. If a plant is a grass, then it is a graminoid. A plant is a graminoid. Therefore, the plant is bamboo.
B.
If A plant is bamboo, then it is a grass. If a plant is a grass, then it is a graminoid. A plant is bamboo. Therefore, the plant is a graminoid.
C.
If a plant is bamboo, then it is a grass. A plant is a grass. Therefore, the plant is bamboo.
D.
If a plant is bamboo, then it is a grass. A plant is bamboo. Therefore, the plant is a grass.

Answers

9514 1404 393

Answer:

  B.  If A plant is bamboo, then it is a grass. If a plant is a grass, then it is a graminoid. A plant is bamboo. Therefore, the plant is a graminoid.

Step-by-step explanation:

A syllogism is a sequential implication:

  If p then q, and If q then r   ⇒   p therefore r.

__

To choose the example, you need to find the elements of each implication and see if they match this pattern.

A: p ⇒ q; q ⇒ r; r ∴ p . . . . not a syllogism

B: p ⇒ q; q ⇒ r; p ∴ r . . . . the syllogism we're looking for

C: p ⇒ q; q ∴ p . . . . not a syllogism

D: p ⇒ q; p ∴ q . . . . not a syllogism

please help, giving brainliest, thanks!

Answers

Answer:

Please look at the image.

I solved this by the information of 6 pages in 12 minutes which means 0.5 or half a page per minute.

Now you know you read half a page in a minute

5 pages in 10 minutes because:

10 × 0.5 = 5

8.5 pages in 17 minutes because:

17 × 0.5 = 8.5

SOMEONE HELP OR IM GONNA FAIL

A bag contains:
• 5 red marbles
• 6 blue marbles
. 3 green marbles
• 4 black marbles
• 2 yellow marbles
A marble will be drawn from the bag and replaced 100 times.
What is a reasonable prediction for the number of times a green
or black marble will be drawn?

Answers

Answer:

A green marble  will be drawn 64444444444444444444444444444444444445372587542723784532784572384327542757235432785423752375428369823 to the sqaure root of 48727 times

Step-by-step explanation:

hola espanol taco chicop espanol

I think a fair argument for the green marbles is that it will be chosen 15/100 times, because if you add all marbles up you get 20 marbles in total, with 3 being green. If you multiply this by five you will get 15/100, therefore this is a reasonable prediction.

(Sorry about the other person.)

Mrs.cooper painted 1/3 of her wall in 3/4 hour if she works at the same rate what portion of the wall will she paint in one hour

Answers

Answer:

Step-by-step explanation:

The ratio of fish to turtles in a pond is
20:3. There are 80 fish in the pond.
How many turtles are in the pond?
A 10
14
C 12
D 16

Answers

Answer:

C : 12

Step-by-step explanation:

Answer:

12 turtles

Step-by-step explanation:

First, if the ratio of fish to turtles is 20:3 and there are 80 fish, then we know that you have to divide 80 by 4 to get the answer 20. However, to find out how many turtles there are you need to do the opposite and multiply instead of dividing. So you do 3 x 4, which get you your answer.

Hope this helps!

What is 5 1/2 - 3 1/4=? Ty if you answer.

Answers

Answer:

2.25

Step-by-step explanation:

your welcome. oh and make it a improper fraction then subtract:)

Answer:

2 1/4

Step-by-step explanation:

or 3.25 in decimal form

9.
Evaluate f(x) = [tex]-x{2}[/tex] for x = –3.

A. –9

B. –8

C. 4

D. –4

Answers

Answer: D




Explanation

Simplify: (4 – 5) – (13 – 18 + 2).
please & thank you!

Answers

Solve parentheses
(4-5)=-1
(13-18+2)=-3
-1-(-3)
=2

Answer:

glad it helps

Step-by-step explanation:

(4-5)- (13-18+2)

(-1)-13+18-2

= 2

I NEED HELP WITH THIS I DONT UNDERSTAND IT

Answers

16.935 I got a question on a test hope this helps):

1. Consumers who bought Silly Soup were naked to respond to an internet wurvey comparing,
the product to other cleaners. If 600 of the 800 people said they preferred Silly Swap, What
claim can the company make?
A3 out of 4 women prefer Silly Soap.
B. More people use Silly Soap than any other brand.
C. Any claim would not be accurate since it is likely that moa respondents were women,
D. Any claim would not be accurate since the survey was given to Silly Soap consumers.

Answers

The answer would be a bc 600/800 simplified is 3/4

The required claim can the company make is that 3 out of 4 women prefer Silly Soap. Option A is correct.

Given that,
Consumers who bought Silly Soup were placed to respond to an internet survey comparing,
The product to other cleaners. If 600 of the 800 people said they preferred Silly Swap.
To determine what claim can the company make.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
From given,
600 of the 800 people said they preferred Silly Swap.
implies,
Ratio = 600 / 800 = 3 / 4

Thus, the required claim can the company make is that 3 out of 4 women prefer Silly Soap. Option A is correct.

Learn more about ratio here:

brainly.com/question/13419413

#SPJ2


Please help! 15 points! Do not steal points or I will report! Explanation = Brainliest!
Solve [tex]\sqrt{384}[/tex] without going into decimals.

Answers

(Answer is below)

Let's solve this step-by-step.

1. Prime factorization of 384.

[tex]=\sqrt{2^7\times3}[/tex]

2. Apply the exponent rule. (Formula: [tex]a^b^+^c=a^b\times a^c[/tex])

[tex]=\sqrt{2^6\times2\times2\times3}[/tex]

3. Apply the radical rule. (Formula: [tex]\sqrt{ab} =\sqrt{a}\sqrt{b}[/tex] or [tex]a\geq 0,b\geq 0[/tex])

[tex]=\sqrt{2^6} \sqrt{2\times3}[/tex]

3a. Solve 2 to the 6th power.

[tex]\sqrt{2\times2\times2\times2\times2\times2} =8[/tex]

4. Multiply 2 by 3. (Note: Put the 8 in your final answer)

[tex]\sqrt{2\times3} =8\sqrt{6}[/tex]

Your answer is: [tex]8\sqrt{6}[/tex]

Let me know if you have any questions.

~ Lily, from Brainly.

Preparation for the homecoming football game, members of the student body are painting the spirit rock in front of the school. If Angela works alone, it will take her five and a half hours. If Brandon works alone, it will take him 7 hours. If they work together, it will take them approximately hours ?

Answers

Answer:

3.08 hours

Step-by-step explanation:

Preparation for the homecoming football game, members of the student body are painting the spirit rock in front of the school.

If Angela works alone, it will take her five and a half hours.

If Brandon works alone, it will take him 7 hours. If they work together, it will take them approximately hours ?

This is calculated as:

The Number of hours they worked together = T

1/5.5 + 1/7 = 1/T

= 7 + 5.5/(5.5)(7)

= 12.5/38.5

1/T = 12.5/38.5

Cross Multiply

12.5T = 38.5

T = 38.5/12.5

T = 3.08 hours

The time required when Angela and Brandon work together, for the preparation for the homecoming football game, is 3.08 hours.

What is the relation between work and time?

The total time taken is inversely proportional to the rate of work. If a unit of work is done in total n number of days, then the total work done in a day can is,

[tex]W_1=\dfrac{1}{n}[/tex]

In preparation for the homecoming football game, members of the student body are painting the spirit rock in front of the school.

If Angela works alone, it will take her five and a half hours. The work done by Angela in one hour is,

[tex]A=\dfrac{1}{5.5}\\A=\dfrac{2}{11}[/tex]

If Brandon works alone, it will take him 7 hours. The  work done by Brandon in one hour is,

[tex]B=\dfrac{1}{7}[/tex]

The work done in one hour, when the work together,

[tex]A+B=\dfrac{2}{11}+\dfrac{1}{7}\\A+B=\dfrac{14+11}{77}\\A+B=\dfrac{25}{77}\\A+B=\dfrac{1}{3.08}[/tex]

Thus, the time required when Angela and Brandon work together, for the preparation for the homecoming football game, is 3.08 hours.

Learn more about the work and time here;

https://brainly.com/question/25572872

find four numbers that are between 0.22 and 0.23, and put all numbers in order from least to greatest

Answers

0.223, 0.224, 0.225, 0.226

Need help I’m getting stuck on this problem

Answers

Plug in y in the bottom equation
5x + 6x = 44
11x = 44
X= 4

Answer:

y is already isolated in the top equation

x = 4

y = 12

(4,12)

Step-by-step explanation:

y is already isolated in the top equation

plug y = 3x into bottom equation

5x + 2y = 44

5x +2(3x) = 44

5x + 6x = 44

11x = 44

x = 4

plug x = 4 into y = 3x

y = 3(4)

y = 12

PLS HELP! I WILL GIVE BRAINLIEST TO BEST ANSWER! Just number 2. Pls exlpain your work. Doesn't have to be like an essay, just enough so I know that you know it's the right answer. TYSM!


PS: You may have to rotate the picture to read it.

Answers

Answer:

D

Step-by-step explanation:

If you solve you will find out that its D

If my function rule is 4x, what is the OUTPUT if the input is 5?

Answers

Function rule = 4x .

Input is 5 .

Output

Here as the input is 5 we need to substitute 5 in place of x .

So ,

⠀⠀⠀⠀⠀‎─━━━━━━━━━━━━─

Hαppч Sσlvíng !¡ :)

The output of the function rule is 20 for the input is 5.

What is a function?

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operations is called the arithmetic operator.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

We have been given that function rule = 4x.

To determine the output for the input is 5

The input given is 5, hence we must substitute x with 5.

So, the output of the function rule = 4(5) = 20.

Therefore, the output of the function rule is 20 for the input is 5.

Learn more about the function here:

brainly.com/question/12431044

#SPJ2

In the expression 3x + 5x – 3y + 5, which terms are “like terms”?
A. 3x and 3y
B. x and 5
C. 3x and 5x
D. all terms

Answers

Answer: C

Step-by-step explanation: 3x and 5x both have x

C - 3x and 5x. Because like terms are the ones with the same variable/letter.

Find the total surface area of this cone.
Leave your answer in terms of pi
SA=

Answers

The answer is 360 pie inches ^2

Is(-10,-7) a solution to this system of equations?

Answers

Answer:

picture?

Step-by-step explanation:

what equation?

which of the following is NOT equivalent to 36%

Answers

Answer:

Wait, what are you talking about?

Answer:

Is there any options for your question?

Step-by-step explanation:

simplify a-(a+b)
(it's not b or a-b)

Answers

Answer:

-b

Step-by-step explanation:

a-(a+b)

a-a-b

-b

-b a-(a+b)
a-a-b
-b

Given Point A (3,-4) and Point B (8,6) on directed line segment AB, what is the y-coordinate of Point F
that partitions AB in the ratio of 3:2?

Answers

Answer:

(6,2) y-coordinate is 2

Step-by-step explanation:

The coordinates of the point F on directed line segment AB that partitions AB in the ratio 3 :2 are: (6, 2)

What is Coordinate geometry?

The formula for finding the coordinates of a point that divides the line in ratio m:n are given by:

We are given that Point A (3,-4) and Point B (8,6) on directed line segment AB.

Here (x1,y1) and (x2,y2) are coordinates of the two points line passed through

(x1,y1) = A(-3,-4)

(x2,y2) = B(8,6)

Ratio: 3 : 2

m = 3

n = 2

Putting the values in the formula

( x, y) = (3 x 8 + 2 x 3 /5  , 3 x 6 + 2 x (-4) /5 )

( x, y) = (24 + 6 / 5 , 18 - 8 /5)

( x, y) = (30/5, 10/5)

( x, y) = (6, 2)

Hence,

The coordinates of the point F  are: (6, 2)

Learn more about coordinate geometry at:

brainly.com/question/9184100

#SPJ6

Jesse looks at the prices of 5 guitars. The prices are $85,
$90, $88, $82, and $86. This data set does not contain an
extreme value.
Which measure of center should Jesse use to describe the prices?
A. Either the mean or the median. The values are about the same.
B. Mean absolute deviation (MAD)
C. Interquartile range (IQR)
D. Range

Answers

The answer is A. I did this test and it said it was A.

What is the probability that I flip a coin three times and they are all heads? (Round to the nearest percent)​

Answers

Answer:

There is probability of 33%.

Please I need help on these, dosent need to be right.

Answers

Answer:

Plug in the numbers in the table to find the pattern.

Step-by-step explanation:

PLEASE HELP


is 18 35 and 53 going to make a right triangle

Answers

Answer:

No.

Step-by-step explanation:

53 + 35 = 88, add 18 = 106.

Answer:

no

Step-by-step explanation:

18x18 + 35 x35 = 53x53

324 + 1225 = 2809

1549 =\ 2809

What number should go in the space?
Multiplying by 1.25 is the same as increasing by __ _%.

Answers

Answer:

125

Step-by-step explanation:

1.25=125/100=125%

Find the solution of the system of equations. -10x+8y= -44 4x+8y=40

Answers

Answer:

(6, 2)

Step-by-step explanation:

i hope this helps :)

find the pyramid surface area 3ft 5ft 3ft

Answers

tell the height, width and depth then we will help

10. The school bookstore sells T-shirts for $12 and sweatshirts for $15. Last
month, the bookstore sold a total of 41 shirts for $564. How many T-shirts and
sweatshirts did the bookstore sell?

Answers

Answer:

41 shirts and 4 sweatshirts

Step-by-step explanation:please give brainlyest

Other Questions
Don't make the answers too long and I will give you brainliest whoever does them!!1. Why did a generation gap develop in the 1960s?2. Why is the decision in Roe v. Wade so controversial?3. What was the Equal Right Amendment (ERA) intended to achieve?4. By 1980, what were some signs that latinos were gaining politicalpower across the nation?5. What problems did the American Indian Movement (AIM) intend toaddress?6. Why was the Environmental Protection Agency (EPA) founded?7. In what ways did Henry Kissinger and Richard Nixon change U.S.foreign policy?8. How did Nixon's southern strategy change the political landscape?9. How did the Iran Hostage Crisis affect Carter's presidency? PLEASE ANSWER I NEED IT FOR MY TEST I GIVE BRAINLIEST TO WHO ANSWERS!!!!Jayne bought between 2 and 3 pounds of granola. If the amount of granola she bought was closer to 2 pounds, how many pounds could she have bought? What was brought to the Americas from Asia and Africa during the 1500s? HELP ME WILL MARK BRAINLIEST FOR RIGHT ANSWER!!!working animalsfarm equipmentgoods and ideasprecious metals How should functional texts be read differently than other texts? Find the value of x. Help??????? Anyone. PLEASE HELP!The diagram below represents geographical features found in the ocean.What symbolizes a rift valley?A. 2B. 3C. 4 D. 5 Solve and check please please help i will mark u as a brill it is easy please explain the difference between a flat tax and a graduated income tax. Why were beavers valuable during the westward expansion? How much simple interest will sean earn of $200 if he invest it for 3 years at 8% interest? Correct Answer to this please its geometry. BEAN BATTLEChoose which bean you want to represent, and the person who wins over me gets...A BRAINLIST! ENTER NOW! AND FIRE UP YOUR INNER BEAN LAWYER! i need the help alot The lengths of the legs of a right triangle are 8 yards and 15 yards. What is the length, in yards, of the third side of the triangle?A.23B.17C. 12.7D.11.5 How is suspense used in a story? PLS HELP I BEG YOU IT IS DUE TODAY ILL GIVE BRAINLIESTWhat is the surface area of the rectangular prism?138 cm200 cm276 cm280 cm We learned that Robert Hooke named cells from the Latin, cella, which means "small room". Do you think Mr. Hooke was observing plant or animals cells when he named them? How do you know? Mrs. Ever hart developed the theory that all bulldogs are great pets . After all her bulldog Meatball is a wonderful dog .... do that sound like a statement or scientific theory .? when the other girl thicc