If a cylinder has a volume of 648pi cm3( 3rd power) and a height of 8 cm, what is the radius?

Answers

Answer 1

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=\stackrel{cm^3}{648\pi }\\ h=8 \end{cases}\implies 648\pi =\pi r^2(8) \\\\\\ \cfrac{648\pi }{8\pi }=r^2\implies 81=r^2\implies \sqrt{81}=r\implies \boxed{9=r}[/tex]


Related Questions

Do these ordered pairs represent a function? {(4,1), (5,2), (8,2), (9,8)} *

Answers

Answer:

Yes

Step-by-step explanation:

A function is a set of ordered pairs in which each x-element has only ONE y-element associated with it, but while it may NOT have two y-values assigned to the same x-value, it may have two x-values assigned to the same y-value.

The points (5,2) and (8,2) have the same y value, but their x values are different.  It is a function (there are no values of x for which we have more than one value of y).

2) 13 years back my mother age was thrice my age and 2 years back she was twice my age then find a) The present age of my mother b) my present age​

Answers

Answer:

age of the Father is 46 and age of the son is 24

Step-by-step explanation:

13 years ago x was thrice y's age, or

(x - 13) = 3(y - 13); or

x - 3y = -26

2 years ago, x was twice y's age, or

(x - 2) = 2 (y - 2); or

x - 2y = -2

Subtracting equation 1 from 2:

x - 2y - (x - 3y) = -2 - (-26)

or y = 24

Use the distributive property to write an experssion that is equalent to 10+15x

Answers

Answer:

5(2+3x)

Step-by-step explanation:

5 x 2 = 10

5 x 3x = 15x

10+15x

(PEMDAS)

Answer:

Step-by-step explanation:

im a boy

72 is what percent of 36

Answers

So the 72 is 200% of 36

What is 5,783 divided by 6 ?​

Answers

I would suggest to do future long division by learning the steps with an acronym. For me, I use DMSB, which stands for Divide, Multiply, Subtract, Bring Down. An example is attached below.To solve this particular equation, you would get 963.33333... which would round to 963.3I hope this helps!

963.3

John and Linda wants to simulate how many children they would have if they continued having kids until they have a boy. They will use the table of random digits below and they have assigned the numbers 0-4 to be a girl and 5-9 to be a boy. Fill in the blanks for the number of children John and Linda will have for each trial.


Trial 1:

Trial 2:

Answers

ithink this is the literal answer

Don’t know where to start

Answers

Step-by-step explanation:

C = 2πr = 2 x π x 6 = 37.69911

The radius of a circle is 2.5 centimeters (cm).
What is the circumference of the circle?

Answers

Answer:

15.7 cm to nearest 10th

Step-by-step explanation:

Circumference = 2 pi r = 2 pi 2.5

= 5 * pi

= 15.708 cm.

A pattern rule is square, triangle, circle, oval. What is the 50th shape?

Answers

Patterns are used to represent sequence of numbers.

The shape at the 50th position is a triangle

The pattern rule is given as: square, triangle, circle, oval.

The number of shapes (n) is given as:

[tex]n =4[/tex]

So, the 50th shape is calculated using the following absolute operator

[tex]Shape = 50\%4[/tex]

i.e. divide 50 by 4, and take note of the remainder.

When 50 is divided by 4, the remainder is 2

So, we have:

[tex]Shape =2[/tex]

This means that, the shape at the 50th position is the same shape at the 2nd position.

Hence, the shape is triangle

Read more about pattern at:

https://brainly.com/question/24050043

if 5a+b=14 then a = what
explain how you got it pls

Answers

Answer:

[tex]a = \frac{14 - b}{5}[/tex]

Step-by-step explanation:

The rule to know and follow is:

You can add, subtract, multiply or divide by anything so long as the same thing is done to both sides of the equals sign;

5a + b = 14

If we want to get: "a = ...", then we use the rule to isolate the variable a on one side of the equation;

Firstly, we subtract b from both sides:

5a + b - b = 14 - b

5a = 14 - b

Then, divide both sides by 5:

[tex]\frac{5a}{5} = \frac{14 - b}{5} \\\\ a = \frac{14 - b}{5}[/tex]

If a = − 3 and b=−i, then find the value of a^ 3b in fully simplified form.

Answers

Answer:

27i.

Step-by-step explanation:

a^3b = (-3)^3 * -i

= -27 * -i

= 27i.

atteo spends a total of 38 min exercising. He walks for 6 min to warm up and then runs at a constant rate of 8 min per mile for the rest of the time. Matteo says that he ran 4.75 mi. Is he correct? Explain your reasoning.

Answers

Answer:

he is incorrect.

no one can run for 5 miles everyday.

if so, my man atteo is a legend.

how to make chicken, with rice ....​

Answers

Answer:

put rice with chicken

Step-by-step explanation:

why do these sisters have different traits?

Answers

Answer: because dna is  game of chance

Step-by-step explanation: hope it helps

Because there are thousands of different gene codes

M - n if m= 29 and n=11

Answers

Answer:

18

Not sure though but I hope i help you ☺️❤️

29 (m) - 11 (n) = 18

Express 972 in the exponential from using prime factors

Answers

[tex]972 = 4 \times 243 = 2^2 \times 3^5[/tex]

PLS HELP HELLLLLOPPPPPP PLEASSSS BRO IM LITERALLY GONNA CRY

Answers

Answer:

F The last option

{ n = 7 h - 2}

{ n = 4 h - 2}

Step-by-step explanation: I HOPE THIS HELPS

Answer:

it's

n=2h+4

n=2h+7

(and vice versa)

The given represent 7 necklace and 4 necklace,that means add it to the no.of necklace they can make every hour and that is 2. So the correct equation is in the above answers.

Step-by-step explanation:

I hope it helps you a lot dude lovelots

#LEARN WITH BRAINLY

The price of a video game is $32.99 before tax. Andre bought the video game for 20% off. He then paid 8% sales tax on the discounted price.

Part A: How much did Andre pay in sales tax? Show all work and steps in your solution. (5 points)
Part B: What is the total amount that Andre paid for the video game? Show all work and steps in your solution. (5 points)

Answers

Answer:

Step-by-step explanation:

First we need to find the 20% discount.

$32.99 x .20 = $6.598

The 20% discount is $6.59

We subtract the discount from the original price:

$32.99 - $6.59 = $26.40 (This is price after the discount.)

Now we need to find the amount of the sales tax on the discounted price.

$26.40 x .08 = $2.11 (This is the sales tax on the discounted price.)

The total price Andre paid is the discounted price plus the sales tax.

$26.40 + $2.11 = $28.51

Total price paid: $28.51

Suppose a group of 100 women aged 60-64 got a new flu vaccine in 2004, and 5 of them died the following year. Is this event unusual? Specifically, how likely is it that at least 5 out of 100 women aged 60 to 64 who get the flu vaccine will die within the next year? Know the chance of dying of a woman aged 60-64 getting a new flu vaccine in the next five years is 0.009.

Answers

Therefore, the probability that at least 5 out of 100 women aged 60 to 64 who get the flu vaccine will die within the next year is 0.0000000059049%, making the event absolutely unusual.

Given that a group of 100 women aged 60-64 got a new flu vaccine in 2004, and 5 of them died the following year, to determine if this event is unusual, and specifically, how likely is it that at least 5 out of 100 women aged 60 to 64 who get the flu vaccine will die within the next year knowing that the chance of dying of a woman aged 60-64 getting a new flu vaccine in the next five years is 0.009, the following calculation must be performed:

0.009 x 0.009 x 0.009 x 0.009 x 0.009 = X 0.000000000059049 = X 0.000000000059049 x 100 = X 0.0000000059049% = X

Therefore, the probability that at least 5 out of 100 women aged 60 to 64 who get the flu vaccine will die within the next year is 0.0000000059049%, making the event absolutely unusual.

Learn more about maths in https://brainly.com/question/14696440

What is the product of 3.45 x
(1.93 x 10^4)

Answers

Answer:

66,585

Step-by-step explanation:

First, solve 10^4, which is 10,000. Then, do 1.93x10,000 and get 19300. Finally, multiply 19300 by 3.45 to get 66,585.

Always use pemdas and hope this helped!

There are 30 cats and 50 dogs at the local animal shelter. Of these animals, 15% were adopted last week. How many animals were adopted?

Answers

12 animals were adopted
ANSWER = 12 Animals adopted

Work:
30 + 50 = 80
80 x .15 = 12

Simplify

2
x
×
3
x
×

x

Answers

Answer: 6x^3

Step-by-step explanation:

Determine the slope from the given graph below:

A • The slope is 5
B • The slope is -1/5
C • The slope is 7
D • The slope is -7

(I’ll give brainliest <3)

Answers

Slope is the change in Y over the change in x.

Use 2 points on the graph(x,y) to use to solev6.

(2,3) and (0,-7)

Slope = (-7 -3) / (0-2)

Slope = -10/-2

Slope = 5

Answer: A the slope is 5

What are the odds of choosing a blue marble from a bag that contains two blue marbles, one green marble and four red marbles?

Answers

Answer:

1/3

Step-by-step explanation:

2 blue 1 green 4 red

Dose anyone know questions 2 and 3?

Answers

Answer:

Step-by-step explanation:

1.6 / 0.2 = 8 x 10⁽⁵⁻²⁾ = 8 x 10³

The cost increases by $1.50 for each additional toothbrush made.

Factor the given expression. 125x^3+521

Answers

Answer:

its (5x+8)(25x^2-40x+64

Step-by-step explanation:

What's the conversion factor used to convert inches to yards?
A. 36 inches in 1 yard
B. 3 inches in 1 yard
0.24 inches in 1 yard
D. 12 inches in 1 yard

Answers

Answer:

Option A is the correct answer

Step-by-step explanation:

We know that

1 yard = 3 foot

1 foot = 12 inch

1 yard = [tex]3\times12[/tex] inches

[tex]=36[/tex] inches

Option A is the correct answer

ChallengE
See attachment and answer :)​

Answers

QuestionSimplify:

[tex]\displaystyle{\sf\:4\:\sqrt{48}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]

Answer :

[tex]\displaystyle{\boxed{\red{\sf\:4\:\sqrt{48}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}\:=\:\dfrac{127\:\sqrt{3}}{6}}}}[/tex]

Step-by-step-explanation:

We have given an expression.

We have to simplify the expression.

The given expression is

[tex]\displaystyle{\sf\:4\:\sqrt{48}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\implies\sf\:4\:\sqrt{16\:\times\:3}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]

We know that,

[tex]\displaystyle{\boxed{\pink{\sf\:\sqrt{a\:\times\:b}\:=\:\sqrt{a}\:\times\:\sqrt{b}\:}}\:\cdots\sf\:a\:,\:b\:\geq\:0}[/tex]

[tex]\displaystyle{\implies\sf\:4\:\sqrt{16}\:\times\:\sqrt{3}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\implies\sf\:4\:\times\:4\:\sqrt{3}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]

We know that,

[tex]\displaystyle{\boxed{\blue{\sf\:\sqrt{\dfrac{a}{b}}\:=\:\dfrac{\sqrt{a}}{\sqrt{b}}\:}}\:\cdots\sf\:b\: > \:0}[/tex]

[tex]\displaystyle{\implies\sf\:16\:\sqrt{3}\:-\:\dfrac{5}{2}\:\times\:\dfrac{\sqrt{1}}{\sqrt{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\implies\sf\:16\:\sqrt{3}\:-\:\dfrac{5}{2}\:\times\:\dfrac{1}{\sqrt{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\implies\sf\:\dfrac{16\:\sqrt{3}\:\times\:2\:\sqrt{3}\:-\:5}{2\:\sqrt{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\implies\sf\:\dfrac{16\:\times\:2\:\sqrt{3}\:\times\:\sqrt{3}\:-\:5}{2\:\sqrt{3}}\:+\:6\:\sqrt{3}} \\ \\\displaystyle{\implies\sf\:\dfrac{32\:\times\:3\:-\:5}{2\:\sqrt{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\implies\sf\:\dfrac{8\:\times\:4\:\times\:3\:-\:5\:+\:(\:6\:\sqrt{3}\:\times\:2\:\sqrt{3}\:)}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{8\:\times\:12\:-\:5\:+\:(\:6\:\times\:2\:\times\:\sqrt{3}\:\times\:\sqrt{3}\:)}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{8\:\times\:12\:-\:5\:+\:(\:12\:\times\:3\:)}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{8\:\times\:12\:-\:5\:+\:12\:\times\:3}{2\:\sqrt{3}}} \\ \\ \\ \displaystyle{\implies\sf\:\dfrac{8\:\times\:12\:+\:12\:\times\:3\:-\:5}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{12\:(\:8\:+\:3\:)\:-\:5}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{12\:\times\:11\:-\:5}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{132\:-\:5}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{127}{2\:\sqrt{3}}} \\ \\ \\ \displaystyle{\implies\sf\:\dfrac{127}{2\:\sqrt{3}}\:\times\:\dfrac{\sqrt{3}}{\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{127\:\sqrt{3}}{2\:\times\:3}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{127\:\sqrt{3}}{6}} \\ \\ \\ \displaystyle{\therefore\:\underline{\boxed{\red{\sf\:4\:\sqrt{48}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}\:=\:\dfrac{127\:\sqrt{3}}{6}}}}}[/tex]

Brittany works at the local fish hatchery. Her job is to unload the boxes of fish food. What is the surface area in square feet of the entire package? The package is a rectangular box.

Answers

Answer:

4.25 sq. ft

Step-by-step explanation:

l = 24

w = 0.5

h = 12

SA = 2lw + 2lh + 2wh

2*(12*0.5 + 24*0.5 + 12*24) = 612 sq. in = 4.25 sq. ft

a recipe for one batch of Holliday cookies uses 6 tablespoons of frosting for every 16 cookies please awnser quick

Answers

What is the question?
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