If a cylinder has a radius of 10 cm and a surface area of 1800 cm2, what is its height?

ALSO

Why do you need to know the height of a cylinder to figure out its surface area?

Answers

Answer 1

Answer:

18.65 cm

Step-by-step explanation:

the surface area of a cylinder is the combination of the two circles (1 at the top, 1 at the bottom) and the area of the side wall or "mantle".

so, two equally sized circle areas and the side area.

this side area is nothing else than a rectangle that is bent around and connected to the circumference of both circles. therefore, the side lengths of this rectangle must be the cylinder height and the length of the circumference of the circles.

that is also why we need the cylinder height to get its surface area (and also volume by the way).

circle area : pi × r²

rectangle area : length × width

cylinder surface area = 2 circle areas + side rectangle area

=> 1800 = 2 × (pi×r²) + (2×pi×r)×h = 2×pi×100 + 2×pi×10×h

=> 1800 = 200×pi + 20×pi×h

=> (1800 - 200×pi) = 20×pi×h

=> (1800 - 200×pi) / (20×pi) = h = 18.65 cm


Related Questions

HELP!
Find the area of a square with a diagonal of length 12.

Answers

Answer:

6

Step-by-step explanation:

Answer:

72 square units

Step-by-step explanation:

you can use the Pythagorean Theorem; because we're dealing with a square then each side can be assigned the same variable, let's use 'a'

a² + a² = 12²

2a² = 144

a² = 72

a = [tex]\sqrt{72}[/tex]

[tex]\sqrt{72}[/tex] can be simplied as [tex]\sqrt{9}[/tex]·[tex]\sqrt{4}[/tex]·[tex]\sqrt{2}[/tex] which is 3·2·[tex]\sqrt{2}[/tex]

each side has a length of 6[tex]\sqrt{2}[/tex]

A = (6[tex]\sqrt{2}[/tex])² which is 6·6·2 or 72

Halla dos numeros enteros sabiendo que al sumarlos se obtiene (-9) y que el mayor de ellos menos 5 es igual al menor

Answers

Respuesta:

-7 y - 2

Explicación paso a paso:

Dejemos que los dos números = x y y

x = mayor

y = menor

x + y = - 9 - - - (1)

x - 5 = y - - - (2)

Ponga y = x - 5 en (1)

x + (x - 5) = - 9

x + x - 5 = - 9

2x - 5 = - 9

2x = - 9 + 5

2x = - 4

x = - 4/2

x = - 2

Ponga x = - 2 en y = x - 5

y = - 2 - 5

y = - 7

NEED HELP WILL BRAINLIST AND 10 points

Answers

Answer:

-4, -2, 6, 10, 12

Step-by-step explanation:

The function is h(x) = 2x + 4. H(x) is basically just another way of writing "y", so we technically have y = 2x + 4. We can complete the table by substituting the value of x that the table gives us.

The table gives us x = -4 and wants us to find h(x), or y. So, we do y = 2(-4) + 4 and we get y = -4.

The table gives us x = -3 so we do y = 2(-3) + 4 and we get y = -2.

The table gives us x = 1 so we do y = 2(1) + 4 and we get y = 6.

The table gives us x = 3 so we do y = 2(3) + 4 and we get y = 10.

The table gives us x = 4 so we do y = 2(4) + 4 and we get y = 12.

1. 20% of 150 is what number?

Answers

Answer:

30

Step-by-step explanation:

First, you have to convert 20% into a decimal.

Explanation:

20 ÷ 100 = 0.2

Now multiply 0.2 by 150

Explanation:

0.2 × 150 = 30.

Therefore, 20% of 150 is 30.

What is the only graph below that has a Hamiliton Path?​

Answers

The Hamilton path the answer is B

Shannon rolls two number cubes, each numbered one through six. She observes the numbers facing up on each number cube and finds the total of the two numbers. What is the probability the total will be 5?​

Answers

starting with 2 cubes that have 6 numbers total for each one, so 2 cubes will have 12 numbers total, and the probability of number 5 is 2/12 (because each cube has a number 5, so two cubes will have 2, and fraction for it will be 2/12).

The probability the sum total will be 5 is 4/36.

What is probability?

"Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one".

For the given situation,

The sample space for rolling two 6 sided cube is

s ={

    [tex](1,1), (1,2), (1,3), (1,4), (1,5), (1,6)\\(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)\\(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)\\(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)\\(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)\\(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)[/tex] }

⇒ [tex]n(s)=36[/tex]

The event is getting the probability that the sum total will be 5.

e = { [tex](1,4), (2,3), (3,2), (4,1)[/tex] }

⇒ [tex]n(e)=4[/tex]

Thus the probability that the sum total will be 5 is

[tex]P(e)=\frac{n(e)}{n(s)} \\[/tex]

⇒ [tex]P(e)=\frac{4}{36}[/tex]

Hence we can conclude that the probability the sum total will be 5 is 4/36.

Learn more about probability here

brainly.com/question/13604758

#SPJ2

A Farmer plants the same amount everyday, adding up to 1 3/4 acres at the end of the year. If the year is 1/2 over how many acres has the farmer planted?

Answers

Answer:

1/45 acres the farmer planted

HOW MANY SOLUTIONS DOES
THIS SYSTEN OF EQUATIONS HAVE

y = 2x + 2
y = 2x + 2

Answers

Answer: Infinitely many solutions.

Step-by-step explanation:

The possibilities could go on forever.

There are several characteristics of a parallelogram that can prove a quadrilateral is a parallelogram. Which characteristic would prove a quadrilateral is a parallelogram?
1.Opposite angles are supplementary
2.Adjacent angles are complementary
3.Adjacent angles are supplementary
4.Opposite angles are equal

Answers

the answer would be b

Answer: its 4

Step-by-step explanation:

Solve please I really need this answer so if you k ow it please solve it thank u

Answers

Answer:

E

Step-by-step explanation:

2/3 times 1/2 is equal to 1/3 and 1/3 times 1/2 is equal to 1/6 yea I'm pretty smart

E. You just multiply the fractions inside the paranthesis times 1\2. 2/3 Times 1/2=1/3. 1/3 X 1/2 = 1/6

30 + = 45
А
15
в 3,045
с
14
D
60

Answers

Answer: 15=45

Step-by-step explanation:30+15=45=15

Answer:

A.15

Step-by-step explanation:

30+15=45

Find the first three iterates of the function f(z) = 2z + (3 - 2i) with an initial value of zo = 4.
a. 13+ 4i, 28 + 9i, 59+ 20i
c. 11 + 2i, 25 + 6i, 53 + 14i
b. 13 - 4i, 28 - 9i, 59 - 20i
d. 11 - 2i, 25 - 6i, 53 - 14i

Answers

Answer:

D.  11 - 2i, 25 - 6i, 53 - 14i

Step-by-step explanation:

correct on EDGE2021

Which statements are true about the shapes? Select three options.
Figure A is a cylinder. Figure B is a cone. Figure C is a sphere. Figure D is a pyramid with rectangular base.
A Figure A is a cylinder.
B Figure B is a square pyramid.
C Figure C has no bases.
D Figure D is a triangular prism.
E Figure D has four lateral faces that are triangles.

Answers

Answer:

C Figure C has no bases.

D Figure D is a triangular prism.

A Figure A is a cylinder.

Step-by-step explanation:

Answer:

B,D,C

Step-by-step explanation:

because thats the anwser

i was running in a marathon i was in last place then i oveer toke the second place runner what place am i now?​

Answers

You’re in second place

ur in second place

Hopefully it will help u

Cora bought 90 feet of cable for ​$.25.20. She needs 40 more feet. If the unit price is the​ same, how much will she pay for the extra 40 feet of ​cable?

Answers

Answer: $11.2

Step-by-step explanation:

Given

Cora bought 90 feet cable for [tex]\$25.20[/tex]

So, the price of a foot is the division of rate and length

[tex]\Rightarrow \text{Price P=}\dfrac{25.20}{90}\\\\\Rightarrow P=\$0.28\ \text{per foot}[/tex]

for additional 40 feet, the cost is

[tex]\Rightarrow 0.28\times 40\\\Rightarrow \$11.2[/tex]

Thus, Cora pays $11.2 for extra 40 feet

A die is rolled 600 times with the following results: It landed on one—102 times, two—97 times, three—100 times, four—105 times, five—92 times. What is the empirical probability of rolling an odd number?

Answers

Answer:

-496 and the odd number between -97 and -105

Solve the equation 5x - 8 = 9
Helpppp pleaseeee

Answers

Answer:

x= 17/5

Step-by-step explanation:

Answer:

17/5

Step-by-step explanation:

hope this helps with the work

Mrs. Williams uses the following recipe for crispy rice treats. She decides to make 2/3 of the recipe. Recipe: 2 cups melted butter, 24 oz marshmallows 13 cups rice crispy cereal. How much of each ingredient will she need? Write an expression that includes multiplication

Answers

2/3(2+24)=13 is the answer

Help me pls Im almost done

Answers

Answer:

The probability of picking a purple marble and spinning green is [tex]\frac{3}{28}[/tex].

Step-by-step explanation:

Since there are 7 marbles and 8 possible tiles to spin, the total amount of possible outcomes are 56. Out of the 56 different outcomes, 6 of them meet the requirement of picking a purple marble and spinning green, so the fraction to represent the situation is [tex]\frac{6}{56}[/tex] or [tex]\frac{3}{28}[/tex].

16\5 divided by 8\15

Answers

Answer:

6

that's the answer

hope it helps

Please help with 19 and 20 find domain and range

Answers

19. domain (-infinity, infinity) range (-infinity, approaching but never reaching 3) 20. range (-infinity, infinity) domain (approaching but never reaching 2, infinity)

I need help wit math rq pls! :(

Answers

David is correct because if the circle on the graph is filled in it means 17 or older but Lily’s represents older than 17

area of a triangle pls help meeee

Answers

A= ab/2
(10)(10)/2
100/2
A=50 in^2

Answer:

50

Step-by-step explanation:

Bxh/2

10x10=100

100/2= 50

given the point and slope write the equation of the line 9,-4; slope -2/3

Answers

Y=-2/3x-4
Linear equation formula: y=mx+b

No links need help ASAP

Answers

Answer:

4, 2

Step-by-step explanation:

The formulas for 180 clockwise and counterclockwise wise is -x,-y since both of them are negative they would become positive because -x * -x = + same with y.

Answer: (4, 2)

Step-by-step explanation:

If you start by moving it 45 degrees counter clockwise, it will end up as

(4, -2). Then you move it one more time counter clockwise 45 degrees. T would be at (4, 2)

Santiago has a points card for a movie theater.
He receives 55 reward points just for signing up.
He earns 12.5 points for each visit to the movie theater.
He needs at least 160 points for a free movie ticket.

Write and solve an inequality which can be used to determine xx, the number of visits Santiago can make to earn his first free movie ticket.

Answers

Answer:

12

Step-by-step explanation:

The number of visits that Jack can make to earn his first free movie ticket will be at least 12 visits

The area of a rectangle is 479.4 square feet. The width of the rectangle is 17 feet.
What is the length of the rectangle? *
1. 28.2 feet
2. 190.4 feet
3. 30.94 feet
4. 239.7 feet

Answers

The answer is 28.2 because 479.4 ft. ÷ 17 ft. = 28.2 ft.

What is the equation for a line that passes through the points (2,-2) and (-4,22)?

A.) Y= -4x + 6
B.) Y= 4x + 6
C.) Y= 4x - 6
D.) y= -4x - 6

Answers

y = -4x + 6
the answer is a

Answer:

A.) Y= -4x + 6

Step-by-step explanation:

Please help

Extra hundred points and brainleist

Answers

Answer:

A

Step-by-step explanation:

It is A. The problem asks for the interval when the marlin's height is always increasing. Therefore, you want to look at the left half of the parabola, as the line is going into the peak. The right half is declining. The peak is at around 2 (on the x-axis), so you know that the ending interval number has to be 2. The marlin's height begins to go up starting at 0, so the interval is 0 <= x <= 2. Any number past two is a declining height, and the increase starts at 0.

blahh
I don't like myself
But maybe it's all in my head And I am not the words I've said These images they sell Maybe none of it is real And I could love the way I feel

Answers

Answer:

?

Step-by-step explanation:

oh my god wow you're so quirky

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