The Curved Surface area [csa] In a cylinder is 250cm². If the cylinder is 12cm high ,find the volume.​

Answers

Answer 1

ahemmm the so-called curved area, will be the "latereal surface area" of the cylinder, and we know that that is 250 cm², whilst the height h = 12.

[tex]\textit{lateral area of a cylinder}\\\\ LA=2\pi rh~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ LA=250\\ h=12 \end{cases}\implies \begin{array}{llll} 250=2\pi r(12)\implies 250=24\pi r \\\\\\ \cfrac{250}{24\pi }=r\implies \cfrac{125}{12\pi }=r \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=\frac{125}{12\pi }\\ h=12 \end{cases}\implies \begin{array}{llll} V=\pi \left( \cfrac{125}{12\pi } \right)^2 (12) \\\\\\ V=\cfrac{15625}{12\pi }\implies V\approx 414.47 \end{array}[/tex]


Related Questions

simplify
Please help ASAP ​

Answers

[tex]\dfrac{4v^2}{wu+u^2} \times \dfrac{7w+7u}{4v-8v^2}\\\\\\=\dfrac{4v^2(7w+7u)}{(wu+u^2)(4v-8v^2)}\\\\\\=\dfrac{4v^2 \cdot 7(w+u)}{u(w+u)\cdot 4v(1-2v)}\\\\\\=\dfrac{7v}{u(1-2v)}[/tex]

What is the length of the missing leg? if necessary, round to the nearest tenth.

Answers

don't know please clue question not written well

From her eye, which stands 1.69 meters above the ground, Sadie measures the angle
of elevation to the top of a prominent skyscraper to be 36º. If she is standing at a
horizontal distance of 275 meters from the base of the skyscraper, what is the height
of the skyscraper? Round your answer to the nearest hundredth of a meter if
necessary.

Answers

The height of the skyscraper is 201.5 meters, if the angle of elevation to the top of a prominent skyscraper to be 36º

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

Angle of elevation = 36 degree

Horizontal distance of 275 meters from the base of the skyscraper

From the tan ratio:

tan36 = x/275

x = 275(tan36)

x = 199.79 meters

The height of the skyscraper = 199.79+ 1.69 = 201.48 ≈ 201.5 meters

Thus, the height of the skyscraper is 201.5 meters if the angle of elevation to the top of a prominent skyscraper to be 36º

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Answer:I just got it wrong the answer is 201.49

Step-by-step explanation:

IF COREY HAD 100 TOKENS AND HE GIVES SOME TO HIS FRIENDS! HE HAS 4 LEFT OVER! HOW MANY DID HE GIVE EACH OF HIS FRIENDS!?

Answers

Answer:

he gave away 96 but depends how many friends he gave them to.

Step-by-step explanation:

Regina graphs the relationship between temperature (in °C) degrees and elevation (in M) in 9 different cities (Shown below).

What is the meaning of point A?
Choose 1 answer:

(Choice A)
A city 6m below sea level is 5° C below zero

(Choice B)
A city 6m above sea level is 5° C below zero


(Choice C)
A city 6m below sea level is 5° C above zero


(Choice D)
A city 6m Above sea level is 5° C above zero

Answers

The meaning of point A is (d) A city 6m Above sea level is 5° C above zero

How to determine the meaning of point A?

From the complete question, the point A is located as:

A = (5,6)

5 and 6 are positive numbers.

This means that A is located 6m above the sea level and 5° C above zero

Hence, the meaning of point A is (d) A city 6m Above sea level is 5° C above zero

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Answer:

ITS CHIOCE C

Step-by-step explanation:

I GOT IT WRONG ON KHAN ACADMEY BC OF THE FIRST ASNWER, AND FOUND OUT THE ACTUAL ANSWER :D

Numbers are written on the back of calenders that are given out to customers at a grociery store. Each month a number is drawn for a customer to win a gift card. Is it a random sample or a sample and why

Answers

Answer:

yo whats your name i think that we are from the same class

Step-by-step explanation:

23 lbs of onions cost $46. How many lbs of onions can you get with $30 ?

Answers

Answer:

15 lbs of onions.

Step-by-step explanation:

23 lbs divided by $46 = 0.5 lbs per $1

0.5 lbs times $30

15 lbs

The sum of two numbers is 12 and their difference is 4
write down two equations to describe given equation
solve the simultaneous equations to find the two numbers

Answers

Answer:

8 and 4

Step-by-step explanation:

let the 2 numbers be a nd b

equations :

a + b = 12

a - b = 4

Adding the two equations

a + b + a - b = 12 + 4

2a= 16

a = 8

b = 4

NEED HELP ASAAAAP(WIll GIVE BRAINLIEST)
What is the formula of g in terms of f?
A.f(x+2)
B.f(x)-2
C.f(x)+2
D.f(x-2)

Answers

Answer:

D

Step-by-step explanation:

g(x) is f(x) shifted to the right by 2 units. Therefore, g(x) can be expressed as f(x-2).

Hope this helps!!!

Please mark me as brainliest!!!

P.S. I need one more brainliest to get Virturoso


In the equation x² + 10x + 24 = (x + a)(x+b), bis
an integer. Find algebraically all possible values of
b.

Answers

Answer:

The answer is 6...Hope this might help you

Select the correct answer. what is the simplest form of this expression? (x 7)(3x − 8) a. 3x2 2x − 15 b. 3x2 29x − 1 c. 3x2 − 29x − 56 d. 3x2 13x – 56

Answers

The means of simplifying is by factoring. The simplified form of the expression is 3x²  - 29x + 56

Simplifying expressions

The means of simplifying is by factoring

Given the expression

(x - 7) (3x-8)

Expand

(x - 7) (3x -8)

3x² -8x - 21x +56

3x²  - 29x + 56

Hence the simplified form of the expression is 3x²  - 29x + 56

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5.369 rounded to the whole number?​

Answers

Answer:

5

Step-by-step explanation:

Find the number in the whole number place

5

and look one place to the right for the rounding digit on the right side of the decimal point

3

.Round up if this number is greater than or equal to

5

and round down if it is less than

5

.

14. Which of the following is the perimeter of the right triangle shown below?
(1) 63 cm
(2) 64 cm
(3) 70 cm
(4) 74 cm

Answers

Answer:

70

Step-by-step explanation:

using the Pythagorean theorem we see that the side length is 29, meaning the perimeter is 70

S
4. In a bag there are letter squares that spell the word ATTITUDE. If you randomly pick two letters, what is
the P(not a vowel, and T) if the letters are not replaced.

Answers

Answer:

It depends if you pick a D or a T for P(not a vowel)

| x- ( - 18) | if x < - 18

Answers

Answer:

well x-(-18) x+18 but the if part is x<-18 will stay the same

Step-by-step explanation:

Find the area of a sector of a circle with a radius of 6 and angle of the sector is 40 degrees

Answers

Answer:

12.56 units²

Step-by-step explanation:

Area of sector :

πr² x θ/360π(6)² x 40/36036π x  1/93.14 x 412.56 units²

Need help please answer ASAP!

Answers

Answer:

See below ~

Step-by-step explanation:

Question 18

Diameter = Difference in y-coordinatesDiameter = 12 - 2 = 10We know : Radius = Diameter/2Radius = 10/2Radius = 5 cm(1) 5 cm

Question 19

3x² - 34x - 24 = 0(3x + 2)(x - 12) = 0Solution set = {-2/3, 12}(3) {-2/3, 12}

#1

Length of diameter

√(2-2)²+(2-12)²√(-10)²10units

Length of radius=10/2=5

#2

3x²-34x-24=0(x-12)(3x+2)=0x=12 or -2/3

Solution set

{-2/3,12}

Select the graph that matches the equation y = 8
5
10
x + 9.

Answers

Answer:

option C

Step-by-step explanation:

y = mx + b → y = 8.5x + 9

b is the y intercept: 9

m is the slope: 8.5

to identify this on the graph, the y intercept is when x = 0

crossing the vertical bold (y) line

so which one is at 9? c is the only one at 9

Need help please answer ASAP!
(22-23)

Answers

Answer:

Question 22 is

[tex]x - 3[/tex]

Question 23 is

[tex]1.67 \times {10}^{ - 21} g[/tex]

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

[tex]x = 0.2[/tex]

Step-by-step explanation:

In the question since the angle we were given was 41°, whereby x was the adjacent and 0.3 was the hypothenus. We have to use cosine to find the value of x.

[tex]recall: \: cosine = \frac{a}{h} \\ \\ a = x \: \: \: h = 0.3 \: \: \: \: angle = 41[/tex]

Therefore:

[tex] \cos(41) = \frac{x}{0.3} \\ \\ 0.75 = \frac{x}{0.3} \\ \\ 0.8(0.3) = x \\ \\ 0.24 = x[/tex]

Since we were asked to round it to the nearest tenth, then the answer would be 0.2.

Answer:

x = 0.2

Step-by-step explanation:

Given: Right angle DEF, angle E = 90°, angle D = 41°, angle DF = 0.3

To find value of x:

Solution: In angle DEF, angle E = 90°.

[tex] cos \: 41° = \frac{adjacent \: side}{hypotenuse} = \frac{DE}{DF} [/tex]

[tex]cos \: 41° \: = \frac{x}{0.3} [/tex]

x = 0.3 × cos 41° = 0.226 ≈ 0.2

Hence x = 0.2

HOPE THIS HELPS AND HAVE A NICE DAY <3

please answer question below asap!!

Answers

Answer:

175000

Step-by-step explanation:

If the 1 is centimeters, then you would take 7 centimeters and multiply it by 25000 to get 175000.

f(x)=3x+2 and g(x)=x-3. Find f(x)-g(x)

a. 4x-1
b. 2x-1
c. 2x+5
d. 2x-5​

Answers

Answer:

First step is to plug in the given values :

[tex] \longrightarrow \tt3x + 2 - ( x - 3)[/tex]

Remove the bracket and change the signs of those terms which are inside bracket since there is a negative sign.

[tex] \longrightarrow \tt \: 3x + 2 - x + 3[/tex]

Collect like terms

[tex] \longrightarrow \tt 3x - x + 2 + 3[/tex]

[tex] \longrightarrow \boxed{ \tt 2x + 5 }[/tex]

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It is known that a certain function is an inverse proportion. find the formula for this
function if it is known that the function is equal to 12 when the independent variable
is equal to 2.
er:
if the independent variable is x, dependent variable is y, then y =

Answers

Answer:

y=24/x

Step-by-step explanation:

An inverse proportion with a positive input and output always has a "fraction format"

12=24/2

12=12

y=24/1

y=24

The y-value for x=1 was higher than the y-value for x=2, that proves that it's inverse.

Find the value of x. ​

Answers

Answer:
10
I hope this helped!

In a company's first year in operation, it made an annual profit of $247,500. The
profit of the company increased at a constant 16% per year each year. How much
total profit would the company make over the course of its first 10 years of operation,
to the nearest whole number?

Answers

To calculate this sort of problem:

 ⇒ involves calculating the total profits over each year

 ⇒ with a constant increase periodically

    ⇒ need to use the Compound Interest Equation

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

A: total amount after t yearsP: initial amount in accountr: rate per periodn: number of times the profit increases per yeart: number of years

Let's fill in some variables:

P: $247500r: 16% increase (in equation form, we plugin 0.16)n: 1 time per yeart: 10 years

What do we want to know:

A: total amount after 10 years

Let's solve:

    [tex]A= 247500*(1+\frac{0.16}{1} )^{1*10}=\\A=247500*(1+0.16)^{10}\\A=247500*(1.16)^{10} \\A= 1,091,830.18[/tex]

To the nearest whole number

Answer: $1,091,830

Hope that helps!

Can someone please help me?

Answers

The center of the circle will be equal to (-3,4) equation of the circle   x²+y²+6x-8y+16=4

What is circle?

The circle is defined as the locus of the point traces around a fixed point called as the center and is equidistant from the out trace.

The general form of the equation of the circle is:-

(x-x₁)²+(y-y₁)²=r²

here x1 and y1 are the center of the circle

Now we will convert our equation in the general form:-

x²+y²+6x-8y+16=4

x²+6xy²-8y+16-4=0

x²+3x+3x+9-9+y²-4y-4y+16-16-4=0

(x+3)²+(y-4)²-9-16+16-4=0  (x+3)²+(y-4)²=13

By comparing with the general form we can see that the coordinate of the center of the circle will be {-3,4)

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On Friday, Beth sold 2 pitchers of lemonade from her lemonade stand. On Saturday, she sold 2 1/2 times as much lemonade as on Friday. How many pitchers of lemonade did Beth sell on Saturday

Answers

Answer:

She sold 5 pitchers of lemonade.

Step-by-step explanation:

She sold 2 on Friday and she sold 2 1/2 times that on Saturday so we have to do 2 x 2 1/2 in other words 2 x 2.5 which gives you 5.

:33333

It's consumer math. I need help asap. #1

Answers

Answer:

949$

Step-by-step explanation:

You get 460$ the first year, then 488 in the second.

find the value of x.....

Answers

X = 18

4x + x = 90
5x = 90
X = 90/5
X = 18

Check your work

4 (18) + 18 = 90

72 + 18 = 90
90=90

What is Mean, median and mode of these numbers below?

25
25
25
25
50
50
125
125
125
375

Answers

Answer:

Mean: 95, Median: 50 Mode: 25

Step-by-step explanation:

1.Mean: add all the numbers then divide by the number of numbers there

25+25+25+25+50+50+125+125+125+375= 950

950 divided by 10 = 95

2.Median :is the number in the middle of all the numbers in this case we have 2 so we will ad those two then divide them by two

50+50=100 100/2 = 50.

3. Mode : this is the most recurring number there and in this case it's 25

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