Find the height of the cylinder given the surface area and one
other dimension:r = 5 in SA
659,4 in?

Find The Height Of The Cylinder Given The Surface Area And Oneother Dimension:r = 5 In SA659,4 In?

Answers

Answer 1

Answer:

C 16 inches

Step-by-step explanation:

a cylinder is 2 circles (1 on top, 1 at the bottom) and a round "mantle" connecting the two circles.

so, the surface area is the sum of the areas of both circles and the "mantle".

this "mantle" can be cut open and cut off the circles, and then be placed flat on the table. then it is simply a rectangle with the side lengths cylinder height (h) and circle circumference.

circle area : pi × r²

circle circumference : 2 × pi × r

rectangle area :

length × width = circle circumference × h

SA = 659.4 inches² = 2×(pi × r²) + (2×pi×r)×h =

= 2×pi×25 + 2×pi×5×h = 50×pi + 10×pi×h

=> 659.4 - 50×pi = 10×pi×h

=> (659.4 - 50×pi) / (10×pi) = h = 16 inches


Related Questions

Question : find the measure of angles x and y
show your work and write a sentence staring the answer​

Answers

Answer:

x = 53°, y = 42°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 given angles from 180° for x

x = 180° - (37 + 90)° = 180° - 127° = 53°

48° + y = 90° ( subtract 48° from both sides )

y = 42°

Factor completely 2n + 13n + 15

Answers

Hey there!

“Factor completely 2n + 13n + 15”

2n + 13n + 15

COMBINE your LIKE TERMS

(2n + 13n) + (15)

2n + 13n = 15n

15 = 15

Answer: 15n + 15

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

15(n + 1)

Step-by-step explanation:

Given

2n + 13n + 15 ← collect like terms

= 15n + 15 ← factor out 15 from each term

= 15(n + 1) ← in factored form

PLEASE HELP what is the area of this?
B. 5 in
5 in
14 in
3 in 1 3 in
14 in
5 in
5 in

Answers

so because the shape is broken down into right triangles we’ll just use the formula

A = ab/2

and because all of our “a” and “b” are the same

a = 4
b = 3

once we’ve found one triangle

A (one triangle) = 4•3/2
A (one triangle) = 6

we can multiple our answer by 4 to find the total of our whole shape

A = 6•4
A = 24

your answer is 24 in

does anyone have flvs geometry?​

Answers

Answer:

Step-by-step explanation: I don't

Answer:

yes

Step-by-step explanation:

I do

The radius of a cylinder is equal to its height, and it has a total
surface area of 500 cm?. Find its height.

Answers

Answer:

250

Step-by-step explanation:

Divide the half from the surface area formula and it will give you the correct answer

The diagonal of a rectangle is 25 in. The width is 15 in. What is the area of the rectangle

Answers

Here is your answer > >

Width of rectangle =15 inches

Length of rectangle =?

Diagonal of rectangle = 25 inches

We know that

(Diagonal of rectagle)^2=length^2+breadth^2

(25)^2=l^2+(15)^2

625=l^2+225

l^2=625-225

l^2=400

l=Root 400

l=20 inches

Hope it helps!

Thankyou ☆ ☆

Bebrainly

I need to know how to do this

Answers

Answer:

Let's walk through the steps together!

Step-by-step explanation:

1

a) we know that the Pythagorean theorem is a^2+b^2=c^2

a^2+b^2=c^2 means that if we add the squared values for each of the two sides of the triangle (these sides need to have an angle of 90 degrees together. Basically they are the ones that aren't the hypotenuse) we get the value of the hypotenuse (the longest side that doesn't help to make the right angle).

We see that we have the values of a and b in this formula (these sides need to have an angle of 90 degrees together.) Plugging the values in problem 1a into this formula, we see that 16^2+12^2=x^2 (x is the value we need to find)

16^2=236

12^2=144

so the formula now says that 236+144=x^2

236+144=400, so x= [tex]\sqrt{400}[/tex] , which is 20.

so x=20

b) we can use the same knowledge we used in the first problem in this problem as well. In this problem, we are given the values of c (the hypotenuse) and one of the sides (which for our purposes can be a).

a^2+b^2=c^2     ->      100+b^2=289

This means that b=[tex]\sqrt{289-100}[/tex]

so b=[tex]\sqrt{189}[/tex]

so b=[tex]3\sqrt{21}[/tex]

2

These ones are pretty basic, having any common knowledge of ratios should lead you right to the answer. I will help you with a and d

a) we are given the values 6 and 9 as a ratio, which is the same as a 2:3 ratio. 12 corresponds to 6, so 12 would be the 2 in 2:3, meaning the answer (for the value of x) is 18

d) we are given the values 6 and 8, and the corresponding value to 8 is 12. 6 and 8 make a ratio of 3:4, and if we plug 12 in as the 3, the 4->4*4=16

3

I can't see the full problem so unfortunately, I cannot help you

I hope this helped in your understanding!

-Suvi

​HURRY PLEASE!!!!!! Boden's account has a principal of ​$300 and a simple interest rate of ​4.4%. Complete the number line. How much money will be in the account after 4​ years, assuming Boden does not add or take out any​ money?

Answers

Answer:

$66.00

Step-by-step explanation:

first we need multiply :D I will use the formula I =prt

principal= $500

rate=3.3%

time= 4 years

but we need to convert the percent, 3.3%, to a decimal

3.3%=0.033 or .033

now we multiply !

500 × 0.033 × 4 = 66 = $66.00

The numerator of a given fraction is 4 less than the denominator. if 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes 1/4, what is the given fraction?​

Answers

Answer:

Step-by-step explanation:Given that the numerator of a given fraction is 4 less than its denominator.

Also given that 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes one by fourth .

Let the fraction be  

Since the numerator of a given fraction is 4 less than its denominator we have,

Numerator=Denominator-4

⇒ a=b-4

Since 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes one by fourth we have

4(a-3)=1(b+5)

4a-12=b+5

4a-b=17

4(b-4)-b=17   ( ∵ a=b-4)

4b-16-b=17

3b=17+16

3b=33

⇒ b=11

Now put b=11 in a=b-4 we get

a=11-4

⇒  the fraction is a/b=7/11

Amanda bought 2 CDs that were each the same price. Including sales tax, she paid a total of $29.80. Each CD had a tax of $1.10 . What was the price of each CD before tax?
brainliest

Answers

Answer:

13.80 there you go buddy

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

24

Step-by-step explanation:

You need to plug in 3 for all of the x-values

That looks like 2(3)^2 + 5(3) - 9

Then if you simplify it is 2(9) + 15 - 9

Then simplify one last time and you get a final answer of 24

[tex]_____________________________________[/tex]

ANSWER:x - intercept:

[tex] \\ \tt ( - \frac{ 5 \sqrt{97} }{4} ,0),( - \frac{5 + \sqrt{97} }{4} ,0)[/tex]

y - intercept

[tex]\tt(0, - 9)[/tex]

[tex]_____________________________________[/tex]

꧁____YunaKoharuChan____꧂

does anyone understand this?

Answers

Answer:

Hello! answer: 80

Step-by-step explanation:

When doing the Pythagorean theorem you do...

a^2+b^2=c^2 which is just A multiplied byitself + B multiplied byitself that will equal the number that C multiplied by itself would equal then you just figure out what multiplied byitself equals that number and thats the answer so...

64 × 64 = 4096 48 × 48 = 2304

4096 + 2304 = 6400 80 × 80 = 6400 therefore c = 80 hope that helps!

Answer:

c = 80 inches

Step-by-step explanation:

The length of the hypotenuse can be found by using the following formula in which "c" is the length of the hypotenuse, and "a" and "b" are the legs of the right angles triangle.

[tex]c = \sqrt{a^{2} + b^{2} }[/tex]

[tex]c= \sqrt{64^{2} + 48^{2} } \\c= \sqrt{4096 + 2304} \\c = \sqrt{6400} \\c = 80 inches[/tex]

so i have 136 sq units in surface area of a rectangle how do i get 136
plz helps as so you can

Answers

Answer:

well you answered the question in your question: you have Area = 136 square units. How you got it, you need to be more specific. Maybe it's because the side lengths are 2 * 68 for example. If anything provide more info. tried to help the best I can

Step-by-step explanation:

(PLEASE HELP) 17. Jon read 3/8 of a book the
first day. 1/3 the second day.
and 1/4 the third day. On the
fourth day he finished the book.
What part of the book did Jon
read on the fourth day?

Answers

Answer:

[tex]\frac{1}{24}[/tex]

Step-by-step explanation:

24 is a common multiple so ill just use that as a denominator:

3/8 = 9/24

1/3 = 8/24

1/4 = 6/24

so then adding those up:

[tex]\frac{9}{24}[/tex] + [tex]\frac{8}{24}[/tex] + [tex]\frac{6}{24}[/tex] = [tex]\frac{23}{24}[/tex]

then whats left is 1/24 left to read, which cant be simplified so [tex]\frac{1}{24}[/tex]

Answer:

   [tex]\frac{1}{24}[/tex]

Step-by-step explanation:

Let x be the part of the book he read on fourth day.

[tex]\frac{3}{8} + \frac{1}{3} + \frac{1}{4} + x = 1[/tex]

[tex]LCM \ of \ 8, 3 , 4 = 24.\ Therefore , \\\\[/tex]

[tex]\frac{3}{8} + \frac{1}{3} + \frac{1}{4} + x = 1\\\\\frac{9 + 8 + 6 + 24x}{24} = 1\\\\23 + 24x = 24\\24x = 1\\x = \frac{1}{24}[/tex]

[tex]On\ the\ fourth\ day\ he\ read\ \frac{1}{24} \ of\ the\ book\ to\ finish\ it.[/tex]

please please help!! i don’t know how to do this

Answers

Answer:

What is your question I will not see and understand

Aline read a report saying 39% of teachers in the United State were members of a labor union. She wants to test whether this holds true for teachers in her state, so she is going to take a random sample of teachers and see what percent of them are members of a union. Let p represent the proportion of teachers in her state that are members of a union. Write an appropriate set of hypotheses for her significance test.

Answers

Answer:

H0: p= 0.39   vs    Ha: p ≠ 0.39

Step-by-step explanation:

She wants to test whether this holds true for teachers in her state.

The test is the formulated into the hypotheses.

The null hypothesis would be

H0: p= 0.39   against the claim    Ha: p ≠ 0.39

The null hypothesis tells that the the proportion of teachers in her state that are members of a union is equal to the proportion of teachers in the US that are members of the labor union.

against the claim

That the the proportion of teachers in her state that are members of a union is  not equal to the proportion of teachers in the US that are members of the labor union.

A Skateboard is reduced 25%
in price in a sale. The old price
was $122. Find the new price.​

Answers

Answer: 30.5

Step-by-step explanation:

The skateboard is $30

can somebody please plz tell me the answer to this question or else I will be grounded. the window has the shape of a kite how many square meters of glass were used to make the window ​

Answers

The answer is 800 cm.

sadie travels through two intersections with traffic lights as she drives to work. The traffic lights operate inependently. The probability that both lights will be red when she reaches them is 0.22. The probability that the first light will be rerd and the second light will not be red is 0.33. what is the probability that the second light will be red when she reaches it

Answers

Answer:

The probability that the second light will be red when she reaches it is 0.4

Step-by-step explanation:

Given the two events are independent

Hence, the probability of both the red light is (P1) * (P2) = 0.22

The probability of first light being red = probability of both the intersections to have red light + probability that the first light will be rerd and the second light will not be red

probability of first light being red =  0.22 + 0.33 = 0.55

(P1) * (P2) = 0.22

Substituting the given values, we get -

0.55 * P2 = 0.22

P2 = 0.4

what is the answer to ?+?x?=58

Answers

Answer:8+10X5=58 or 3+5x11=58

Step-by-step explanation: hope it help

This is for math pls help I need this done

Answers

Answer:

its upside down turn it around

Step-by-step explanation:

The following are the ages of the children in your neighborhood playschool. 1, 5, 4, 8, 2, 5, 10

1. What is the MEAN age of the children in your neighborhood playschool?​

Answers

Answer:

Hi there, the correct answer should be...

The mean age of the children is 5.

Step-by-step explanation:

mean:average

1 + 5 + 4 + 8 + 2 + 5 + 10 = 35

35 ÷ 7 = 5

Which equation is equivalent to 6 (y+ 3) — 3 (у — 2) = 18?
A) 6у +3 — 3у – 2 = 18
B) 6у +3 + 3y – 2 = 18
C) 6y+ 18 — 3 — 6 = 18
D) 6y+ 18 — 3y + 6 = 18

Answers

Answer:

the answer is D

............

Answer:

The answer is (D)

Step-by-step explanation:

[tex]6(y + 3) - 3(y - 2) = 18 \\ 6y + 18 - 3y + 6 = 18 \\ [/tex]

PLEASE HELP WITH STEPS SOLVE IN SCIENTIFIC NOTATION WILL GIVE BRAINLIEST

Answers

Answer:

use this <3 (helps calculate scientific notation) https://www.calculatorsoup.com/calculators/math/scientific-notation-converter.php

Step-by-step explanation:

What is the exact circumference of the circle?
101 it
201 ft
401 ft
600 ft

Answers

Given:

The diameter of a circle = 20 feet

To find:

The exact circumference of the circle.

Solution:

We know that the radius is half of the diameter of the circle.

The diameter of a circle is 20 feet. So, the radius of the circle is 10 feet.

The circumference of the circle is:

[tex]C=2\pi r[/tex]

Where, r is the radius.

Substituting [tex]\pi = 3.14, r=10[/tex], we get

[tex]C=2(3.14)(10)[/tex]

[tex]C=(6.28)(10)[/tex]

[tex]C=62.8[/tex]

Therefore, the exact circumference of the circle is 62.8 feet.

Note: All options are incorrect.

math and answer please than you

Answers

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

C^2 = A^2 + B^2

plug in numbers

100 = 64 + B^2

36 = b^2

square

b = 6

What is the volume of a cone with a diameter of 20 inches and height of 25 inches?

Answers

Answer:

7853.98163in³

Step-by-step explanation:

V=

π

d

2

2

h

=

π

20

2

2

25

7853.98163in³

help me plzz pllz help now im on a time line​

Answers

Answer:

Oki, mizuki here to help!

Hi there user, looks like you need help!

Anyways, option B is the correct answer!

Step-by-step explanation:

How to find average speed: distance/time

Since the graph shows 480 meters in 6 seconds, option B should be the correct answer!

Hope this helped!

Step-by-step explanation:

we know that

Speed = Distance/ Time

so the correct answer is B

Erika's first and second quarter grades are shown below. What grade does she need in
math in order to have an overall average equivalent to the first quarter? Write your answer
in the box.

Answers

Answer:

She would need an 83 in math if she wants to have an overall average equivalent to the first quarter . Tell me if im wrong

Step-by-step explanation:

Rewrite [tex]f(x)=(x+7)^2-9[/tex] in standard form
Quick pls

Answers

Answer: f(x)=x^(2)+14x+40

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