A cylindrical bottle has a volume of 1,413 in3 and a radius of 5 inches. What is the height of the bottle?​

Answers

Answer 1

Answer:

h = 17.9909 in

General Formulas and Concepts:

Symbols

π (pi) ≈ 3.14

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Geometry

Volume of a Cylinder Formula: V = πr²h

r is radiush is height

Step-by-step explanation:

Step 1: Define

Identify variables

V = 1413 in³

r = 5 in

Step 2: Solve for h

Substitute in variables [Volume of a Cylinder Formula]:                               1413 in³ = π(5 in)²hEvaluate exponents:                                                                                         1413 in³ = π(25 in²)h[Division Property of Equality] Divide π on both sides:                                  449.772 in³ = (25 in²)h[Division Property of Equality] Divide 25 on both sides:                               17.9909 in = hRewrite:                                                                                                             h = 17.9909 in

Related Questions

Suppose that AB and EF are corresponding sides of similar triangles. If AB=2 and the scale factor is 5, what is EF?

Answers

Answer:

EF=10

Step-by-step explanation:

If they are corresponding,

AB = 2 x Scale factor of 5 = 10

1. If 3X + Y =P and X+Y=Q, what is X in terms of P and Q?

Answers

'is' means =

so

X =

so

3X + Y = P

3X = P - Y

X = (P - Y) ÷ 3

What is the area surface of a cylinder 11x8

Answers

Answer:

400.7 cm^3

Step-by-step explanation:

which operation should you perform first when you simplify the following (15 x 5 + 4) x 3

Answers

Answer:

15 x 5 would come first

Step-by-step explanation:

PEMDAS

first you do parenthesis, and then multiplication so you would do the multiplication inside of the ( ) first !

Answer:

if your doing PEMDAS then do parentheses but if your not then multiply first.

the answer is: 237

Step-by-step explanation:

Solve each system of linear equations by using substitution method.

x - y = -2
2x + y =5

100 POINTS PLS ANSWER

Answers

Answer: x=1 y=3....do you need to show your work?

Answer:

x = 1, y = 3

Step-by-step explanation:

Given:

x - y = -2

2x + y = 5

First, add y on both sides for the first equation.

x = y - 2

Then, plug in x into the second equation.

2(y -2) + y = 5

2y - 4 + y = 5

3y = 9

y = 3.

Next, now that you've found y, plug it into either the first or second equation to solve for x. I'll be using the second equation.

2x + 3 = 5

2x = 2

x = 1.

Ans: x = 1, y = 3

When Camden runs the 400 meter dash, his finishing times are normally distributed with a mean of 65 seconds and a standard deviation of 1.5 seconds. Using the empirical rule, determine the interval of times that represents the middle 68% of his finishing times in the 400 meter race.

Answers

Answer:

63.5, 66.5

Step-by-step explanation:

Approximately 68% of Camden's finishing times fall within the interval from 63.5 seconds to 66.5 seconds.

What is the empirical rule?

The empirical rule states that for a normal distribution, approximately 68% of the data lies within one standard deviation of the mean, approximately 95% of the data lies within two standard deviations of the mean, and approximately 99.7% of the data lies within three standard deviations of the mean.

Since we want to find the interval that represents the middle 68% of Camden's finishing times, we need to find the range of times that are one standard deviation above and below the mean.

The mean of Camden's finishing times is 65 seconds, and the standard deviation is 1.5 seconds, so the interval that represents the middle 68% of his finishing times is:

[65 - 1.5, 65 + 1.5] = [63.5, 66.5] seconds

This means that approximately 68% of Camden's finishing times fall within the interval from 63.5 seconds to 66.5 seconds.

Learn more about the empirical rules here:

brainly.com/question/27914019

#SPJ2

help me pls and thank you

Answers

Answer: it’s 24

Step-by-step explanation: I need brainliest for next rank I’d appreciate it

Answer:

24

Step-by-step explanation:

solve the equation 3(x- 4) = 5​

Answers

Answer:

Step-by-step explanation:

3(x-4)=5         use distributive property

3x-12=5         add 12 to both sides

3x=17             isolate x by dividing both sides by 3

x=5.66 repeating or 5 2/3

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{3(x- 4) = 5}[/tex]

[tex]\large\textsf{DISTRIBUTE 3 within your parentheses}[/tex]

[tex]\mathsf{3(x) + 3(-4) = 5}[/tex]

[tex]\mathsf{3(x) = \bf 3x}[/tex]

[tex]\mathsf{3(-4)=\bf -12}[/tex]

[tex]\large\text{NEW EQUATION: \textsf{3x - 12 = 5}}[/tex]

[tex]\mathsf{3x - 12 = 5}[/tex]

[tex]\large\textsf{ADD 12 to BOTH SIDES}[/tex]

[tex]\mathsf{3x - 12 + 12 = 5+12}[/tex]

[tex]\large\text{CANCEL out: \textsf{-12 + 12} because that gives you \textsf{0}}[/tex]

[tex]\large\text{KEEP: \textsf{5 + 12} because it helps solve for the \textsf{x value}}[/tex]

[tex]\mathsf{5+12=\bf 17}[/tex]

[tex]\large\text{NEW EQUATION: \textsf{3x = 17}}[/tex]

[tex]\mathsf{3x = 17}[/tex]

[tex]\large\textsf{DIVIDE 3 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{3x}{3}=\dfrac{17}{3}}[/tex]

[tex]\large\text{CANCEL out: }\mathsf{\dfrac{3}{3}}\large\text{ because that gives you the value of \textsf{1}}[/tex]

[tex]\large\text{KEEP: }\mathsf{\dfrac{17}{3}}\large\text{ because it gives you the \textsf{x value}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{x = \bf \dfrac{17}{3}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

The price of Stock A at 9 A.M. was ​$13.88. Since​ then, the price has been increasing at the rate of ​$0.12 each hour. At noon the price of Stock B was ​$14.63. It begins to decrease at the rate of ​$0.08 each hour. If the two rates​ continue, in how many hours will the prices of the two stocks be the​ same?

Answers

Answer: 9 hours

Step-by-step explanation:

Help me if u can if you can it’s fine but plz help me if u can I would really appreciate it

Answers

Answer:

you are right click on 32 °

Please help. Any tips appreciated. I have no clue how to complete this please

Answers

Answer:  35

=============================================================

Explanation:

A full circle is 360 degrees. The pie slices shown represent the various angles of each slice. Each angle expression in that diagram will add up to 360.

Doing this will help us solve for x.

(angleVQR)+(angleRQS)+(angleSQT)+(angleTQU)+(angleUQV) = 360

(21x+4) + (14x-4) + (5x+5) + (5x+5) + (80) = 360

45x+90 = 360

45x = 360-90 ... subtract 90 from both sides

45x = 270

x = 270/45 ..... divide both sides by 45

x = 6

We'll then plug this x value into the angle expression for angle TQU

angle TQU = 5x+5

angle TQU = 5*6+5

angle TQU = 35 degrees

----------

Extra info:

angle VQR = 130 degreesangle RQS = 80 degrees (same as angle UQV)angle SQT = 35 degrees (same as angle TQU)Starting at angle VQR, and working clockwise, the five angles are: 130, 80, 35, 35, 80. Note that 130+80+35+35+80 = 360.

PLS HURRRRRRRYYYYY TYYY

Answers

Answer:

It's 15.70796. Won't go in-depth since time seems to be of the essence

Step-by-step explanation:

Won't go in-depth since time seems to be of the essence

Which is equivalent to 1/2? Select all that apply

Answers

Answer:

options man?

Step-by-step explanation:

1/2 = 2/4 = 3/6 = 4/8 = 5/10 = 6/12 = 7/14 = 8/16 = 9/18 = 10/20 = 11/22 = 12/24

1/2 = 25/50 = 50/100 = 100/200 = 150/300 = 200/400 = 250/500

Answer:

a sin 30

Step-by-step explanation:

i just need more points

what is the image of the point (4,-8) after a rotation of 270 degrees counterclockwise about the orgin

Answers

Answer:

(-8,-4)

Step-by-step explanation:

(y,-x)

i need help pls and thxs

Answers

Answer:

Step-by-step explanation:

132 degrees

132° because a circle is 360°

how many vertices does this shape have? (Multiple choice)

Answers

Answer:

10

Step-by-step explanation:

Please help!

Use the quadratic formula to solve 2x^2=5x+6. Leave your answer in radical form. Show all of your work!

Answers

Answer:

roots are [(5 - [tex]\sqrt{73}[/tex]) / 4] and [(5 + [tex]\sqrt{73}[/tex]) / 4]

Step-by-step explanation:

[-b ± √b² - (4ac)] ÷2a

2x² - 5x - 6 = 0

a = 2

b = -5

c = -6

[5 ± √5² - 4(2)(-6)] ÷ 2(2)

[5 ± √25 - (-48)] ÷ 4

[5 ± √73] ÷ 4

I dont understand this got a test tomorrow someone please help

Answers

Answer:

14*6=18 or add them

Step-by-step explanation:

its either multiply or add them together

Help it’s literally 2AM

Answers

Answer:

10

Step-by-step explanation:

4x+8+3x+12=90

x=10

this is the solution hope it's helpful

Which number sentences are modeled by the tape diagram? Select the two correct answers. 1 O = } + + + + +++ 0+ 를 0= 5x = 5x.​

Answers

Answer:

Explain more i cant understand

Point F is on line CD. Find the measure of angle CFE. Show your work.

Answers

Answer:

CFD = 180

EFD= 152

180-152= 28

CFE= 28

Step-by-step explanation:

can someone help me with this???

Answers

Answer:

it's 47 degree answer of your question

It would be 47 degrees

What two integers have a sum of -19 and a product of 84?

Answers

-7 x -12

7x12=84

7+12=19

Size of the largest angle in a triangle is 4 times the sizes of the smallest angles.The other angles is 27 degree less than the largest angles. Work out in degree , the size of the each angle in the triangle

Answers

23 degrees , 65 degrees and 92 degrees

A = 10r + 2
what is the value of A if r=3?
12
15
32
105​

Answers

Your answer is 32. Hope this helped
The answer is 32 because 10 x 3= 30 +2 = 32

using the 45o −45o −90o Triangle theorem.

Solve this triangle.​

Answers

Answer:

take 45 degree as reference angle

using sine rule

sin45=p/h

1/[tex]\sqrt{2}[/tex]=[tex]\sqrt{5}[/tex]/m(do cross multiplication)

[tex]\sqrt{2}[/tex]*[tex]\sqrt{5}[/tex]=m

[tex]\sqrt{10}[/tex]=m

Step-by-step explanation:

Please help!!! 20 points

Answers

Answer:

4) 2xy(x^2-2x-8)  2xy(x-4) (x+2)

5) 3(x^2-9x-10   3(x+1) (x-10)

Step-by-step explanation:

help me and please tell me how did you get the answer​

Answers

Answer:

The sum is 10

Step-by-step explanation:

Given: 2 1/2 + 2 1/2 + 2 1/2 + 2 1/2

Rewrite: 4(2 1/2)

Make fraction improper: 4(5/2)

Distribute: 20/2

Simplify: 10

the answer is 10
how i got the answer was buy adding all the 2s together to get 8 and then i added all the half’s witch made 2 and all there was left to do was add the 2 and the 8 to get 10

The October 31 bank statement of the Stover Co. indicated a balance of $6,151.11. Stover’s checkbook reflected a balance of $2,160.14. Stover Co.’s bookkeeper found that the bank had collected a note for $1,389.25. A deposit, in the amount of $2,837.77, made in the afternoon of October 31 had not been credited to their account. Checks totaling $5,545.09 had not yet been presented for payment and there was a charge of $105.60 for printed checks. What was their reconciled balance? $4,433.79 $3,447.39 $3,443.79 $3,443.97

Answers

Answer:

$3,443.79

Step-by-step explanation:

Mark as Brainliest

Answer:

$3,443.79

Step-by-step explanation:

Add for adding money

Subtract for collecting/spending money.

HELP MEEE!!! Will make brainlyist if right!!

Answers

Answer:

238 degrees

Step-by-step explanation:

Whole circle measures 360 degrees.

Subtract 122 degrees from the whole circle to get 238 degrees.

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