The surface area of a cylinder is approximately 640.56 square meters. The radius of the cylinder is 5 meters less than the height of the cylinder. To the nearest whole meter, what are the radius and height of the cylinder?

Answers

Answer 1

the radius is approximately 6 meters,

height is approximately 11 meters

Answer 2

The radius of cylinder = 6 meter.

The height of cylinder = 11 meter.

What is cylinder?

A cylinder is a "three-dimensional object with two round flat bases and one curved side. It has a curved surface in the middle. The base and the top surface are identical".

According to the question,

Surface area of the cylinder = 640.56 m²

Let the height of the cylinder = x meters

Let the radius of the cylinder = (x-5)meters

Formula for surface area of cylinder = 2πrh ( where 'r' is the radius of the cylinder and 'h' height of the cylinder)

640.56 = 2(3.14)(x-5)(x)

640.56/(6.28) = x² - 5x

x² - 5x =102

x² - 5x - 102 =0

using quadratic equation, [-b±√(b² - 4ac)]/2a.

b = -5; a=1; c=102

x =[-(-5) ±√(-5)² - 4(1)(102)]/2

 = [5 ± √433]/2

x = 11 and -7

since x=-7 neglect negative value, we get x=11.

The height of the cylinder is 11 meters

The radius of the cylinder is  (11 - 5) = 6 meters.

Hence, The radius of cylinder = 6 meter.

The height of cylinder = 11 meter.

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Related Questions

PLEASE HELP ASAP I WOULD RLY APPRECIATE IT

Answers

Answer:

The measurement of 7 is equal to 47 because it is congruent to 5.

The equation that could be is is:  (2x-5) + 47 = 180

x is equal to 69.

Step-by-step explanation:

69 times 2 = 138 -5 = 133

133 + 47 = 180

Math help!

Imagine a 10 by 10 by 10 cube made up of 1000 unit cubes and floating in space. What is
the greatest number of unit cubes that can be seen by an observer at any moment in time?

Answers

The most sides that any person could see at once would be 3.

That would be 300 unit cubes, bc each side has 100 unit cubes (10 x 10)

If you want more explanation lmk!

100 POINTS!!!

What is the meaning of the initial value in this table?


A. How much he purchased the computer for.

B. How much he spent.

C. How much it goes down.

D. How much he pays per month

EXPLAIN

Answers

Answer:

A

Step-by-step explanation:

Since he is paying the computer off, the first value is considered the initial value, and in this case it is the amount he purchased the computer for.

Triangles ABC and DEF are similar.

Find the lengths of segments DF and EF. (do not round)

DF =

EF =

Answers

Answer:

DF=2.68

EF=2.01

Step-by-step explanation:

help please asap so much appreciated

Charmaine watered 3 plants.
Every plant got
gallons of water.
How much water did she use in all?
Write your answer in simplest form.

Answers

She used 1 2/3 or 1.6 gallons



Because she used 5/9 gallons for each three plants you multiply the amount she used by three. 5/9 * 3 which equals to 15/9. That simplifies to 1 and 2/3.

Does AN time E equal to ABN if A=1, B=5, E=3 & N=0?

Answers

Answer:

Yes, AN time E equal to ABN if A=1, B=5, E=3 & N=0.

Step-by-step explanation:

Given;

Does AN time E equal to ABN if A=1, B=5, E=3 & N=0?

A = 1

B = 5

E = 3

N  = 0

Note;

0 multiply everything is 0.

Solve;

So If A=1, B=5, E = 3, N=0                

AN times E = (1 x 0) x 3 = 0

ABN = (1 x 5 x 0) = 0

Therefore, the question would be true.

~Learn with Lenvy~

Please help fast!!!! A spinner has 3 sections

Answers

Answer:

9/20

Step-by-step explanation:

36/80

orrrr just

9/20

Write the equation of a line through point (-5,1) and perpendicular to 2x – 3y = 6?

Answers

Answer:

B. Slope = -5/4, no, not perpendicular

Step-by-step explanation:

(Multiple Choice Worth 1 points) What should be added to -5 to make the sum 0?

Answers

Answer:

5

Step-by-step explanation:

-5+5=0

Find the measure of angle r

Answers

Answer:

75 degrees

Step-by-step explanation:

75+r+30=180

105+r=180

r=75

3. Henry's banks said they will putin 20% interest annually if he keeps at least $5,000 in his savings account. How much money. in interest will the bank put in Henry's
All changes saved
account?
STO
$10,000
O $100
$1,000

Answers

Hey there!

Option answer: $1,000

Calculate the percentage

=> 5000 × 20/100

=> 5000/1 × 20/100

=> 50/1 × 20/1

=> 1000/1

=> 1000

Therefore, 20% of $5000 is $1000

Calculate.
(2017 x 0.2018 x 2018 x 20.18)/(20.17 x 201.8 x 2.018)

Answers

Answer is:

2018

Have a good day :D

A rectangle has a height 3 times the length of its base. If the base increases by 3 cm and the height by 5 cm then the area is 319 2. What are the dimensions of the rectangle?

Answers

Answer:

The length of a rectangle is 3 times the width.The area is 75 cm^2.

Amanda charges $20 fee for babysitting plus an additional $5 per hour. The Wilson family paid the babysitter a total of $35 for a night of babysitting. Which equation could be used to determine h, the number of hours Amanda was babysitting for the Wilson family?

Answers

Answer:

the equation that can be used to determine how many hours Amanda babysitted for the family =

20 + 5x = 35

Amanda babysitted for 3 hours

Step-by-step explanation:

From the question, we know that:

Amanda charges $20 fee for babysitting plus an additional $5 per hour.

Let the number of hours she babysits be represented by x

This is represented by the equation:

$20 + $5× x

= 20 + 5x

We are also told:

The Wilson family paid the babysitter a total of $35 for a night of babysitting.

Hence the equation that can be used to determine how many hours Amanda babysitted for the family =

20 + 5x = 35

5x = 35 - 20

5x = 15

x = 15/5

x = 3 hours

Therefore, Amanda babysitted for 2 hours

approximately how many times did taryn gaslight and manipulate cam??
A. never!!
B. once or twice
C. we’re gonna bump it up a little and say a good 10-20 times
D. too many to count this mf crazy.

Answers

d because theres been over a thousand mf times and i cant even remember most of them

Alice makes a scale drawing of her bedroom. She uses a scale of 3 cm to represent 5 m. What ratio is Alice using?

Answers

Answer:

[tex]\frac{3}{500}[/tex]

Step-by-step explanation:

1m is 100 cm, so we have [tex]\frac{3}{500}[/tex]

if I had 9 bucks to spend on the book fair, how much money would I have if I bought 2 posters, a comic, and an Invisible ink pen? Would I have enough?
__________________
l poster: $2 l
l Comic: $3 l
l Invisible ink pen: $3 l
l_________________l

Answers

Yea you would since 3+3+2 is 8 but you didn’t buy a poster it would be 6 so you would have enough

does anyone know the answer to this? i need it asap

Answers

The volume of a cube is equivalent to hwl (height x width x length) so the height is 6ft whereas the length is 14ft and the width is 2ft. So volume = 6 x 14 x 2 = 168ft

10. Find the value of the function () = 15x2 - 4 if x = 6.
a. 180
116
b. 2/19
C.
d. 4​

Answers

Answer:

your question is not clear

Step-by-step explanation:

because of option not correct arrange

Richard owned n cows.
Ellis had exactly 4 times as many cows as Richard.
Richard buys 13 extra cows.
Ellis sells 9 of his cows.
Ellis still has more cows than Richard.
Form an inequality, in terms of n.
Solve the inequality to find the least value of n.
You must show all your working.

Answers

Richard has (n)
Ellis has (4n)
Richard now has (n+13)
Ellis now has (4n-9)
Ellis has more cows that Richard
That means
4n-9 > n+ 13
3n > 22
n > 22/3

Hope this helps.

The sum of two numbers is 87. The difference of the same to numbers is negative 111. Find the numbers.

Answers

Answer:

99 and - 12

Step-by-step explanation:

let x and y be the 2 numbers, then

x + y = 87 → (1)

x - y = - 111 → (2)

Adding the 2 equations term by term eliminates the y- term

2x = - 24 ( divide both sides by 2 )

x = - 12

Substitute x = - 12 into (1)

- 12 + y = 87 ( add 12 to both sides )

y = 99

The 2 numbers are 99 and - 12

A scientist measures the velocity of a major river at various depths. After collecting and analyzing the data, the scientist determines that the equation y=−0.114x+1.658, where x represents the depth, in feet, and y represents the velocity of the river, in feet per second, can be used to model the data. The linear model has a correlation coefficient of 0.964.

Answers

Answer:

If you translate that in romanian i will do it.

The velocity of a major river at various depths has no relation.

What is a linear equation?

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

We are given that;

Equation y=−0.114x+1.658

Now,

In this case, the equation y = -0.114x + 1.658 represents a linear relationship between x (depth) and y (velocity) of the river. The correlation coefficient is 0.964, which means there is a very strong positive correlation between these two variables. This means that as depth increases, velocity also tends to increase proportionally.

| x | y |

| 0 | 1.658 |

| 5 | 1.098 |

|10 | 0.538 |

|15 |-0.022 |

The calculator gives us a p-value of approximately 0.0002, which is much smaller than 0.05. This means that we can reject the null hypothesis that there is no correlation between depth and velocity of the river and conclude that there is a statistically significant positive correlation between them.

Therefore, by the given equation there will be no relation.

Learn more about linear equations;

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Peiling and John saved the same amount of money. After Peiling lent $28 to John, John had 5 times as much money as Peiling. How much did John have in the end?

Answers

Answer:

140$

Step-by-step explanation:

so if peilling lent 28$ and then john has 5x as much that means john had 4x as much before getting the 28$ which would mean that john had 112$ dollars so now with that knowledge just add the 28$ to get 140$ or just do 5 x 28 to get 140

SHOW WORK AND I WILL GIVE BRAINIEST
Ethan is a 5 ft 4 inches tall. How tall is he in cm, if 1 in is about 2.54 cm?

Answers

Answer:

he is 162.56

Step-by-step explanation:

Answer:

162.56 cm

Step-by-step explanation:

Convert 5 ft 4 inches to inches (5 x 12) +4

Then convert to cm

64in              2.54cm

---------    x   ---------------  =   162.56cm

   1                     1 in

Cancel the term inches and multiply 64 by 2.54cm

need answers, please explain asap! need the answer for 2 and 3!

Answers

Key ConceptsSurface Area and Volume of a Cube

Volume of a cube formula: [tex]V=a^3[/tex]

Surface area of a cube formula: [tex]SA=6a^2[/tex]

[tex]a[/tex] is the side length

Area of a Trapezoid

Area of a trapezoid formula: [tex]A=\dfrac{1}{2}(a+b)h[/tex]

[tex]a[/tex] is the length of the top side[tex]b[/tex] is the length of the bottom side[tex]h[/tex] is the height (forms a right angle with the bottom of the trapezoid)

Solving the QuestionQuestion 2

We're given:

Volume of the cube = 343 cm³We must solve for the surface area

First, use the volume formula to solve for the side length:

[tex]V=a^3[/tex]

⇒ Plug in the known volume:

[tex]343=a^3\\\sqrt[3]{343}=\sqrt[3]{a^3}\\a=7[/tex]

Therefore, [tex]a=7[/tex].

Now, plug this value into the formula for surface area:

[tex]SA=6a^2\\SA=6(7)^2\\SA=294[/tex]

Therefore, the surface area of the cube is 294 cm².

Question 2

We're given:

One can of paint covers 72 ft²[tex]a=14[/tex][tex]b=24[/tex][tex]h=16.5[/tex]

For this question, we must solve for the area of the trapezoid, then divide its double by 72 to find how many cans of paint we need for two coats.

Solve for the area of the trapezoid:

[tex]A=\dfrac{1}{2}(a+b)h[/tex]

⇒ Plug in the given information:

[tex]A=\dfrac{1}{2}(14+24)(16.5)\\\\A=\dfrac{1}{2}(38)(16.5)\\\\A=(19)(16.5)\\A=313.5[/tex]

Therefore, the area of the trapezoid is 313.5 ft²

Multiply it by 2:

[tex]313.5*2\\=627[/tex]

Divide this by 72:

[tex]\dfrac{627}{72}\\\\=8.7[/tex]

Therefore, we need 9 cans of paint to paint two coats over the deck.

The probability of making a type i error is denoted by.

Answers

The probability of making a type i error is the likelihood of type i error, and it is denoted by α

How to determine the symbol

The type-i error involves rejecting a good prediction or value indicated by the null hypothesis.

In other words, the probability of wrongly rejecting the null hypothesis is the probability of the type-i error.

And it is represented by the alpha symbol.

Hence, the probability of making a type i error is α

Read more about probability at:

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For 30 points

The pattern 2, 5, 17, ________, ________ follows the rule multiply by 4, then subtract 3. What are the next two terms?

Answers

Answer:

the next two are 65, and 257

Answer:

65 and 257

Step-by-step explanation:

17x4=68   68-3=65.      65x4=260   260-3=257

ASAP!!!!!!!!! PLS!!!!!

Answers

Answer:

[tex]\huge\boxed{\text{6 by 10 inches}}[/tex]

Step-by-step explanation:

In order to solve for this, we can make two equations, where a is the length of the first side and b is the length of the second side.

[tex]ab=60[/tex] (Area)[tex]2a+2b=32[/tex] (Perimeter)

We can now solve this systems of equations by using substitution.

Let's change the equation [tex]ab=60[/tex] into the form [tex]a= mb+c[/tex].

We can divide both sides by b.

[tex]a = \frac{60}{b}[/tex]

We can now plug [tex]\frac{60}{b}[/tex] in as a into [tex]2a+2b=32[/tex].

[tex]2(\frac{60}{b}) + 2b = 32[/tex]

Let's simplify this equation:

[tex]\frac{120}{b} + 2b = 32[/tex] [tex]2b^2 + 120 = 32b[/tex] [tex]2b^2 - 32b + 120 = 0[/tex] [tex]b^2 - 16b + 60 = 0[/tex] [tex]-10 \cdot -6 = 60\\-10 + -6 = -16[/tex]     (Quadratic factoring, [tex]x_1 \cdot x_2=c, x_1 + x_2 = b[/tex]) [tex](b-10)(b+6)[/tex] [tex]b = 10\ \text{or}\ 6[/tex]

Now, since we have both roots of this quadratic, we know that the two sides will be 10 and 6 inches long.

Hope this helped!

do this for brainliest!!

Answers

Answer:

125 is the answer

Step-by-step explanation:

Plsssss help me to answer this question I will mark you brainlist.
The solution the inequality 4(3x + 2) - 6 > 8 + 2(x - 8) is a x > n. What is the value of n?

n=?

Answers

Answer:

-1

Step-by-step explanation:

First you simplify your parenthesis, then subtract 2x from both sides. Then subtract both sides by 2, then finally divide both sides by 10. x > -1 So n = -1

Hope I helped! :)

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