Formula for the surface area of a cylinder, SA = 2ar2 + 2arh. Solve for h.

Answers

Answer 1

Answer:

[tex]\displaystyle h = \frac{A-2\pi r^2}{2\pi r}[/tex]

Step-by-step explanation:

Recall that the surface area A for a cylinder is given by:

[tex]\displaystyle A=2\pi r^2+2\pi rh[/tex]

And we want to solve for the height h.

First, subtract [tex]2\pi r^2[/tex] from both sides. This yields:

[tex]2\pi rh= A-2\pi r^2[/tex]

Now, we can dvide both sides by [tex]2\pi r[/tex]. This yields:

[tex]\displaystyle h = \frac{A-2\pi r^2}{2\pi r}[/tex]

And we're done!


Related Questions

Which of the following expression is an algebraic expression *
23(40)
25/4
6x
12x12

Answers

Answer:

i think 6x

Step-by-step explanation:

cz we have a variable

The answer is 6x

an algebraic expression is an expression solving for a variable. in 6x the variable x is what you would be solving for.

For each expression, combine like terms and write an equivalent expression with fewer terms. 3x + 5x - 1

Answers

Answer:

8x-1

Step-by-step explanation:

If you combine the like terms "the ones with x" you get 8x-1.

A bag has 2 green marbles and 10 brown marbles. Half of the brown marbles are made of glass. A marble is selected at random from the bag. What is the
probability that it is a brown, glass marble?

Answers

Answer:

5/12

Step-by-step explanation:

Total number of marbles:

2 + 10 = 12

Number of brown marbles made of glass:

10/2 = 5

Required probability:

P = 5/12
The sample space is 12. This is because there are 2 green and 10 brown, so 2+10 =12.

Half of the 10 brown marbles are glass, so that would be:

1/2 * 10 = 5 brown, glass marbles.

The probability of picking a brown, glass marble is therefore no of brown, glass marbles/ sample space.

5/12


Help pleaseeeeeeeee

Answers

Answer:

85 Degrees

Step-by-step explanation:

Alternate Interior Angles

9x+4=85

9x=81

x=9

Question in photo! (Please help with other questions!)

Answers

Answer:

t₁ = 14

d = -2

Step-by-step explanation:

Given :-

t₆ = 4

t₁₀ = -4

To Find :-

t₁ and d

Solving :-

t₆ = t₁ + 5d = 4   -(1)

t₁₀ = t₁ + 9d = -4 -(2)

(2) - (1)

4d = -8

d = -2

t₁ + 5(-2) = 4

t₁ = 14

Solution :-

t₁ = 14

d = -2

Pls help who ever gives a correct answer will get a brainlist and 100 points!!!

Answers

Answer:

a+3p

Step-by-step explanation:

l=a+4p-1p

l=a+3p

Hope this helps :)

Answer:

l = a + 3(p)

explanation:

upper length:  a+ 4(p)

bottom length:  p + l

As we can see both of them have equal length.

Therefore,

p + l = a+ 4(p)

l = a + 4(p) - p

l = a + 3(p)

A point on a graph is located at (5,8). It is rotated 90 degrees
counterclockwise. What are the new coordinates? So get a graph and plot
the points to find out where the new coordinate is....OR just use the math
version of rotation. Either way works!!!

Answers

Answer:

Your answer would be (-5,8). Hoped I could help.

Step-by-step explanation:

Answer:

The answer for your question is (-5,8), Which woul also be in Quadrant ll

HELP ASAP PLEASE I BEG!!!!! YOU GET BRAINLIST IF YOU HELP PLEASE!!

Answers

Answer:

the answer is the second one, I believe I've given the answer to this before.

Help with Number 1 please
< A

Answers

Answer:

The angle A for the first question is equal to 43.6 degrees

Step-by-step explanation:

1st step:

[tex]\frac{sin\theta}{20} \times \frac{sin 90}{29}[/tex]

2nd step:

Take 20 to the other side.

[tex]sin \theta = \frac{20(sin90)}{29}[/tex]

3rd step:

Solve the right side and then take the inverse sin of the right side to get the value of theta and you get 43.6 degrees

[tex]\theta = 43.6[/tex]

Help asap please I’ll give brainlyest A set of equations is given below:
Equation C: y = 4x + 8
Equation D: y = 4x + 2
Which of the following best describes the solution to the given set of equations?
O No solution
One solution
OTwo solutions
O Infinitely many solutions

Answers

Answer:

No solutions.

Step-by-step explanation:

Easy way to spot is to take the 4x term to the LHS.

[tex]y-4x = 8\\y-4x = 2[/tex]

You're required to find a quantity that is at the same time equal to both 8 and 2, which is obviously impossible.

There are two ways to figure this equation out.

Answer: O No solution

Way One - Graphing

     We can graph the two equations. Points of intersection represent a solution to the set.

-> See attached.

     Since there are no points of intersection, the answer is "O No solution"

Way Two - Analyzing the Equations

     We can see that both of these equations have a slope of 4. We then can set them both equal to the y-intercept to see if they will have solutions.

y = 4x + 8

 -> y - 4x = 8

y = 4x + 2

 -> y - 4x = 2

     Because 8 ≠ 2, but y - 4x = y - 4x, the answer is "O No solution"

Gabriel put $6000 in a 5-year CD paying 4% interest compounded monthly. After 2 years, he withdrew all his money, and as an early withdrawal penalty, he paid back all the interest he made during the first year. How much money was Gabriel left with?​

Answers

Using compound interest, it is found that Gabriel was left with $6,255.

What is compound interest?

The balance, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which the parameters are given as follows:

P is the principal, which is the value of deposit/loan/....r is the interest rate, as a decimal value.n is the number of times that interest is compounded per year, annually n = 1, semi-annually n = 2, quarterly n = 4, monthly n = 12.

In the context of this problem, the values of these parameters are as follows:

P = 6000, t = 2, r = 0.04, n = 12.

The balance after two years is:

[tex]A(2) = 6000\left(1 + \frac{0.04}{12}\right)^{24}[/tex]

A(2) = 6499.

The balance after one year is:

[tex]A(1) = 6000\left(1 + \frac{0.04}{12}\right)^{12}[/tex]

A(2) = 6244.

The interest paid on the first year was:

A(1) - P = 6244 - 6000 = 244.

Hence the amount that he was left with is:

6499 - 244 = $6,255.

More can be learned about compound interest at https://brainly.com/question/24924853

#SPJ1

Answer:

Step-by-step explanation:

6254.41

A countertop is 16 feet long and 3 feet wide Tile costs $28 per square meter how much will it cost to cover the countertop with new tile

Answers

Answer:The total cost is about $124.86

Step-by-step explanation:

The area of the counter top is 16 ft by 3 ft so 16 x 3= 48. The area of the counter top is 48 ft squared.Then you have to convert it to meters squared, 48 x 0.092903 = 4.459244. Then multiply that by 28 to get your answer.4.459244 x 28 = 124.861632. The total cost is about $124.86

The radius of a circle is 11 feet. What is the circle's area? Use 3.14 for ​

Answers

Answer:

Formula for area of a circle;

A = πr^2

where pi is 3.14 in this case, and r is the radius squared

Plug in the actual values;

A = 3.14 x 11^2

A = 3.14 x 121

A = 379.94 square feet

what is 12/8 in the simplest form

Answers

Answer:

3/2

Step-by-step explanation:

Answer: 3/2

Step-by-step explanation: 12 and 8 can be reduced by dividing them by 4, so 12/8 can be simplified to 3/2.

pls answer it pls pls pls

Answers

a. ΔECR and ΔACR have three pairs of congruent sides, both triangles are therefore congruent by the SSS conrguence theorem.

b. ΔTSE and ΔNOH have three pairs of congruent sides, both triangles are therefore congruent by the SSS conrguence theorem.

What are Congruent Triangles?

Congruent triangles are triangles that have the corresponding sides and angles that are congruent to each other and they have the same shape and size.

a. The information given shows that ΔECR and ΔACR have:

three pairs of congruent sides - CR ≅ RC; EC ≅ AC; and ER ≅ AR.

Therefore, both triangles are congruent triangles by the SSS conrguence theorem.

b. The information given shows that ΔTSE and ΔNOH have:

three pairs of congruent sides - TE ≅ NH; SE ≅ OH; and TS ≅ NO.

Therefore, both triangles are congruent triangles by the SSS conrguence theorem.

Learn more about congruent triangles on:

https://brainly.com/question/2938476

What letter is located at approximately

22
22
?

A E

B F

C G

D H





Answers

Answer: B

Step-by-step explanation:

check which of the following is a solution to the equation x-2y=4.

Answers

Answer:

solve for y   y= -2+x/2

solve for x   x=4+2y

Step-by-step explanation:

x-2y=4

+x    =4+x

  -2y = 4 + x  divide both sides by -2

   2         -2

      y=-2 + x/2

x-2y=4

 +2y=4+2y

 x  = 4+2y

What is the slope of the equation y = 4x - 3?

Answers

Answer:

4

Step-by-step explanation:

The slope-intercept form is mx + b = y.

According to the form, 4 = m which is also the slope.

m = 4 is the slop equation for this problem.

2.) Pedro spends $23.50 at the local arcade and mini-golf course. Each round of mini-golf costs $7.50 and each
arcade game costs $2. Which of the following could be used to determine the number of arcade games Pedro can
play if he plays one round of mini-golf?

Answers

Answer: 7.5 + 2x = 23.50

Answer:

7.50+2x=23.50

Step-by-step explanation:

I just had this question

I think of a number double it and add eleven. i get 25
a)use the statement above form an equation use the letter x for the uknown number
b) solve the equation

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

let the number be x then doubling it is 2x and adding 11 is

2x + 11

(b)

the statement is equal to 25 , then

2x + 11 = 25 ( subtract 11 from both sides )

2x = 14 ( divide both sides by 2 )

x = 7

Choose all the fractions that are equivalent to1/7. (Click all that apply.)
4/28
7/49
7/70
2/8
2/14
5/35

Answers

Answer:

2/14, 4/28, 5/35, 7/70 or just 2/14

Step-by-step explanation:

Multiply both the numerator and denominator of 1/7 by 2, to get 2/14, or 2:14

And multiply the numerator and denominator of 1/7 by 3, to get 3/21, or 3:21. So 2:14 and 3:21 are two ratios that are equal to 1:7.

To the nearest​ millimeter, a cell phone is 135 mm long and 48 mm wide. What is the ratio of the width to the​ length

Answers

Answer:

48:135

width:length replace width and length with the given value and thats where we get

By what percent will the product of two numbers change if one of them
increased by 20% and the other decreased by 20%?

Answers

Answer: The answer is 4% I hope it helps

Step-by-step explanation:

Step-by-step explanation:

4% I hope it serves you <)

is f(x) = -3x + 4 and g(x) =2 solve for the value of x for which f(x) = g(x) is true

Answers

Answer:f(x)=-3+4

g(x)=2

that means:f(x) is -3                                 AND

g(x) is 2.

Step-by-step explanation:

in an arithmetic sequence, the 5th term is equal to 75 and the 7th term is equal to 111 write an expression for the nth term of the sequence

Answers

Answer:

               [tex]\bold{\underline{a_n=18n-15}}[/tex]

Step-by-step explanation:

[tex]a_n=a_1+d(n-1)\\\\a_5=a_1+d\cdot4\\\\a_7=a_1+d\cdot6\\\\a_7-a_5=a_1+6d-(a_1+4d)=2d\\\\111-75=2d\\\\2d=36\\\\d=18\\\\\\a_1+18\cdot4=75\\\\a_1=75-72=3\\\\\\a_n=3+18(n-1)=3+18n-18\\\\\underline{a_n=18n-15}[/tex]

The scatter diagram shows information about 10 cars.The 10 cars are the same type and make.

Another car is 4 years old and has been valued at £2600.
A)Show this information on the graph.

B) describe the relationship between the age and the value of the cars.

A car of the same type and make is 3 1/2 years old
C) estimate the value of the car

Answers

Answer:

a) you need to plot a cross on the graph (with the pencil) in the right place:

(x-axis: 4, y-axis: 2600)

b) the older the car is, the lower its value. there is a negative correlation between the cars age and its value.

c) you need to draw a line of best fit on the graph. where the line is at 3 1/2 years, that is its estimated value. (my guess is around £3000)

1/3(1/2x-12)=1/2(2x+16)

Answers

Answer:

Rank Topic Problem Formatted Problem

1 Factor x^2‑4 x2−4x2‑4

2 Factor 4x^2+20x+16 4x2+20x+164x2+20x+16

3 Graph y=‑x^2 y=−x2y=‑x2

Step-by-step explanation:

Do the ratios 4/9 and 12/20 form a proportion?

Answers

Answer:

no

Step-by-step explanation:

12/20 = 60%

4/9 = 44.44%

These are not equal.

please mark brainleyst

What is the solution of log (2 t 4) = log (14 minus 3 t)? –18 –2 2 10

Answers

The solution of the [tex]\rm log(2t+4)=log(14-3t)[/tex] is 2.

It is given that the  [tex]\rm log(2t+4)=log(14-3t)[/tex].

It is required to find the value of  't'.

What is Logarithm?

It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b=c\\\rm log_ac=b[/tex]

We have:

[tex]\rm log(2t+4)=log(14-3t)[/tex]

Taking  [tex]\rm log_1_0[/tex]  base and removing the log from both sides.

[tex]\rm 2t+4=14-3t\\\rm 5t=10\\\rm t=2[/tex]

Thus, the solution of the [tex]\rm log(2t+4)=log(14-3t)[/tex]  is 2.

Learn more about the Logarithm here:

https://brainly.com/question/163125

Answer:

C or 2

Step-by-step explanation:

right on edge 2022

What is the value of 2/11 dived by 3/11

Answers

Answer:

1/6

Step-by-step explanation:

Idk i just googled it

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