A cylinder has a radius of 12m and a height of 30m. Find the surface area and volume

Answers

Answer 1

Answer:

Surface Area: 1008π OR 3166.73

Volume: 4320π OR 13,571.68

Step-by-step explanation:

Surface Area Equation:

2πrh+2πr^2

Work:

2π (12) (30) + 2π12^2

2π(360) + 2π(144)

720π + 288π

1008π OR 3166.73

Volume Equation:

πr^2h

Work:

π12^2 (30)

π144 (30)

4320π OR 13,571.68


Related Questions

50 POINTS find the length of ab plz help me

Answers

Answer:

about 9.4 units

Step-by-step explanation:

Distance formula:

√(x1 - x2)² + (y2 - y1)²

Coordinates:

A (4, 2)

B (9, 10)

Let's make 9 = x1

Let's make 4 = x2

Let's make 10 = y1

Let's make 2 = y2

Substitute into the distance formula:

√(x1 - x2)² + (y2 - y1)²

√(9 - 4)² + (2 - 10)²

Solve:

√(9 - 4)² + (2 - 10)²

√(5)² + (-8)²

√25 + 64

√89

≈ 9.4

Therefore, the length of AB is approximately 9.4 units.

Answer:

About 9.4 units

Step-by-step explanation:

To find the distance between two points

d = sqrt(( y2-y1) ^2 + (x2-x1) ^2)  where (x1,y1) and (x2,y2) are the points

   =  sqrt(( 10-2)) ^2 + (9-4) ^2)

   =  sqrt((8) ^2 + (5) ^2)

   = sqrt(64+ 25)

    = sqrt(89)

   =9.433981132

About 9.4 units

what is 3 times a times 2 times b

Answers

So the right answer is 6ab

look at the attached picture

hope it will help you

Good luck on your assignment

write the following ratio in the simplest form

1/2:3/5

Answers

Answer:

Step-by-step explanation:

[tex]\frac{1}{2}:\frac{3}{5}=\frac{1*5}{2*5}:\frac{3*2}{5*2}\\\\=\frac{5}{10}:\frac{6}{10}\\\\= 5:6[/tex]


A sector with a radius of 15 cm has a central angle measure of 8pie/5
What is the area of the sector?

Answers

Answer:

The area of the sector is [tex]180\pi \ cm^2[/tex].

Step-by-step explanation:

We have,

Radius of circle is 15 cm

Central angle is [tex]\dfrac{8\pi}{5}\ \text{radian}[/tex]

It is required to find the area of the sector. The formula used to find the area of sector is given by :

[tex]A=\dfrac{1}{2}r^2\theta[/tex]

Plugging all the values in above formula as :

[tex]A=\dfrac{1}{2}\times 15^2\times \dfrac{8\pi}{5}\\A=180\pi \ cm^2[/tex]

So, the area of the sector is [tex]180\pi \ cm^2[/tex].

i need help with this

Answers

Answer:

1,468 in³

Step-by-step explanation:

Find the volume of big rectangle = 1,500 in³

Find the volume of small rectangle = 32 in³

Subtract 32 from 1,500

Finding the Likelihood of an Event
Each time you roll a number cube, a number from 1 to 6 lands face up. This is called an event.

Directions: List the possible outcomes for each event. Then, write where that event may fit on the scale (from impossible to certain).






Rolling a number less than 7


Example:

1, 2, 3, 4, 5, 6; 6 out of 6 possible rolls Likeliness: Certain [100%]

Rolling an 8





Rolling a number greater than 4





Rolling a 5





Rolling a number other than 6





Rolling an even number





Rolling a number less than 5





Rolling an odd number





Rolling a number divisible by 3






Answers

Answer:

0/6, 1/3, 1/6, 5/6, 1/2, 2/3, 1/2, 1/3

Step-by-step explanation:

hope this helps

Create a polynomial that is added to 5x2 + 6x + 9 to get 7x2 + 9x + 14.

Answers

Answer:

Step-by-step explanation:

Subtract first from second

= 2x^2 + 3x + 5

Edge lengths are given in units. Find the surface area of each prism in square units.

Solution:​

Answers

Answer:

408 units^2

Step-by-step explanation:

area of triangle: 1/2(6)(8)=24

24*2=48

area of bottom rectangle: 6(15)=90

area of front rectangle: 15(10)=150

area of back rectangle: 8(15)=120

48+90+150+120=408

Therefore, 408 units^2

I hope this helped and have a good rest of your day!

The graph of f(x) = |x| is vertically stretched by a factor of 3, shifted left 2 units, shifted down 4 units and reflected over the x-axis. What is the function equation of the resulting graph?

Answers

Answer:

The final transformed function becomes:

[tex]f(x)=-3\,|x-2|+4[/tex]

Step-by-step explanation:

The first transformation (vertically stretched by a factor of 3) means we multiply by 3 the original function:

[tex]f(x)= 3\,|x|[/tex]

second transformation (shifted left 2 units) means we add 2 units to "x":

[tex]f(x)=3\,|x+2|[/tex]

third transformation (shifted down 4 units) implies that we subtract 4 units to the full functional expression:

[tex]f(x)=3\,|x+2|-4[/tex]

fourth transformation (reflected over the x-axis) implies that we multiply the full functional expression by "-1":

[tex]f(x)=(-1)\,(3\,|x+2|-4)\\f(x)=-3\,|x-2|+4[/tex]

Step-by-step explanation:

Step 1:  Add the vertical stretch

[tex]f(x) = |x|[/tex]

[tex]f(x) = 3|x|[/tex]

Step 2:  Shift it to the left 2 units

[tex]f(x) = 3|x|[/tex]

[tex]f(x) = 3|x + 2|[/tex]

Step 3:  Shift it down 4 units

[tex]f(x) = 3|x + 2|[/tex]

[tex]f(x) = 3|x + 2| - 4[/tex]

Step 4:  Reflect it across the x-axis

[tex]f(x) = 3|x + 2| - 4[/tex]

[tex]f(x) = -3|x + 2| - 4[/tex]

Answer:  [tex]f(x) = -3|x + 2| - 4[/tex]

What is the circumference, in centimeters, of the circle? Use 3.14 for n. Enter your answer in the box

Answers

Answer:

75.36

Step-by-step explanation:

The circumference of a circle is just the diameter, 24 in this question times 3.14.

The solution is, 75.36 cm is the circumference, in centimeters, of the circle.

What is perimeter?

A perimeter can be mentioned as a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.

Perimeter means to the total outside length of an object,

here, we have,

the diameter, 24 cm (in this question)

now, we have to find the circumference,

we know that,

The circumference of a circle is the diameter times 3.14.

so, we get,

the circumference = 24*3.14 cm

                               =75.36cm

Hence, The solution is, 75.36 cm is the circumference, in centimeters, of the circle.

Learn more about perimeter here:

brainly.com/question/397857

#SPJ6

I need the answer please help

Answers

Answer:

2k + 5

Step-by-step explanation

did it on e2020

Find the area of each square given the side S or the perimeter P. S = 2 yd Thank you if u r helping me!

Answers

Answer:

I think the perimeter is 8 yd

Step-by-step explanation:

Because it's a square, if one side is 2 yd then we can assume that the remaining 3 sides are also 2 yd long. So, 2 yd + 2 yd + 2 yd + 2 yd =  8  yd

Hope this helps :)

Find the sum of the numbers as a product of their GCF is 84 + 108

Answers

Hey there! :)

I believe the correct answer to your question is 12.

Find the prime factorization of 84

84 = 2 × 2 × 3 × 7

Find the prime factorization of 108

108 = 2 × 2 × 3 × 3 × 3

To find the gcf, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 2 × 3

GCF = 12    

Hopefully this can help you out!

Solve for x: 1 < x + 3 < 4

Answers

Answer:

−2<x<1

Step-by-step explanation:

Let's solve your inequality step-by-step.

1<x+3<4

1+−3<x+3+−3<4+−3(Add -3 to all parts)

−2<x<1

Answer: −2<x<1

Hope this helps.

what is 1/7 plus 1 1/5

Answers

Answer:

2 12/35

Step-by-step explanation:

you have to change them into /35 so they'll add together.

Answer:

Exact Form:

47/35

Decimal Form:

1.34285714…

Mixed Number Form:

1  12/35

Step-by-step explanation:

Hope this helps : )

A number divided by three, then increased by four is nine.
(As an equation)

Answers

Answer:

x = 15

Equation = x

                  __.  +4=9

                   3

Step-by-step explanation:

x = number

x

__.  + 4 =9

3

First, you subtract 4 on both sides of the equation to get x by itself.

x

__. = 5

3

Then, you multiply the denominator (3) on both sides to get x by itself

x = 15

Use trigonometric functions and/or Pythagorean Theorem to find the missing variable round answer to 2 decimal place (hundredths)

Answers

Idk I am sorry ask your teacher she might help

of 55 cars making up a freight train, 37 are boxcars. what fraction of the cars are not boxcars?​

Answers

Answer:

18/55

Step-by-step explanation:

which of the following are exterior angles? check all that apply

Answers

Answer:

5 and 4  and 6

Step-by-step explanation:

it is 5 and 4 because they are not angles inside the triangle

Can anyone help please?

Answers

Answer: [tex]5x\sqrt{3x}[/tex]

Step-by-step explanation:

The factors of 75 are 5, 5, and 3. Since there are two 5's, we can  take the square root of them to get 5. x^3 has x, x, and x. There are also two x's, which means that we can square root them to equal just x.

jordan got 27 out of 90 correct in his test. what fraction of the marks did he get wrong ? give your answer in the simplest form

Answers

Answer:

63/90

Step-by-step explanation:

just subtract 27 from 90 and you will get 63 so jordan got 63 questions wrong out of 90 which means 63/90.

Answer:

7/10

Step-by-step explanation:

WILL MARK YOU BRAINLIEST

Answers

Answer:The area is 14306. 625 cm.

Step-by-step explanation:

To find the area of the circle, we will need to find the diameter and find the radius.

So we know the circumference is  423.9 m and we know to get the circumference, you will need to multiply pie by the diameter .

so now we need divide the circumference by pie to find the diameter.

423.9/ 3.14 = 135  so 135 is the diameter.

To find the radius we need to divide the diameter by 2.

135/2 = 67.5

Now is time to find the area which uses the formula  A= nr^2

A = 3.14 * 67.5^2

A = 14306. 625

Point B has coordinates ​(3​,2​). The​ x-coordinate of point A is negative 3. The distance between point A and point B is 10 units. What are the possible coordinates of point​ A?

The possible coordinates of point A are

Answers

Answer:

Either A= (-3,10)

OR A= (-3,-6)

Step-by-step explanation:

A = (-3,y)    B = ​(3​,2​)

(Distance from A to B) = √[(-3-3)²+(y-2)²]=10

√[36+y²-4y+4]=10

√[y²-4y+40]=10

squaring on both sides

y²-4y+40=100

y²-4y-60=0

y²-10y+6y-60=0

y(y-10) + 6 (y-10)=0

(y - 10)(y + 6)=0

Either y=10 =>A= (-3,10)

OR y=-6 =>A= (-3,-6)

Which table shows that x and y are directly proportional?

Answers

Answer:

First row, first column table

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

if you want to know if they are proportional, then do 1/2 = or not to 3/6.

continue doing this to the other numbers

Help Please! Please Explain.
Marissa jumped 42 times in 7 hours. At that rate, how many times would she jump in 30 minutes?

Answers

Answer:

3

Step-by-step explanation:

Well first let's calculate how many times she jumped per hour. For that we need to divide 42 by 7 which is 6. Now we need to divide that by two because they are asking for every half hour, not every hour. So 6 divided by 2 is 3. So our answer is 3.

It would take john 6 hours to paint a room by himself. It would take Tom 18 hours to paint the same room by himself. Of john and tom work together, each at his individual rate, how many hours will it take the to paint the room.

Answers

Answer:

12 hrs

Step-by-step explanation:

6+18 =24

24/2 = 12

Answer: 4h 30min

Step-by-step explanation: Theoretically, if X= Number of hours required to paint the room,

X(1/6+1/18)=1

X(3/18+1/18)=1

X(4/18)=1

X(2/9)=1

2/9X=1

X=9/2h, or 4 1/2 h

Bald-faced hornets have a hive that is approximately cone-shaped, as shown in the image. One such hive has a radius of 15 inches and a height of 20 inches.

The volume of this hive is approximately _[blank]_ π in3.

Enter your answer as the correct value, rounded to the nearest tenth, if necessary, like this: 42.5

Answers

Answer:

5340.7

Step-by-step explanation:

So the volume of a cone is πr^2 * h / 3

r = 15

h = 20

225π * 20 / 3 ≈ 5340.7

Approximately 5340.7

The function v(r) 4/3 r^3 can be used to find the volume of air inside a basketball given its radius. What does V(r)
represent?
the radius of the basketball when the volume is V
the volume of the basketball when the radius is r
the volume of the basketball when the radius is V
the radius of the basketball when the volume is r

Answers

Answer:

the volume of the basketball when the radius is r

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

on edge took the test

1) Tanya is buying edging for a triangular flower garden she plans to build in her backyard. If the lengths of the three pieces of edging that she purchases are 13 feet, 10 feet, and 7 feet, will the flower garden be in the shape of a right triangle ?

Answers

Answer:

The Flower Garden is not in the shape of a right Δ

Step-by-step explanation:

~ To prove that this garden is in the shape of a right triangle, it can be done so through contradiction ~

Pythagorean Theorem is applied to a right triangle, so we can say that the two legs are 10 and 7 feet, the hypotenuse being 13, knowing it is the longest side;

a^2 + b^2 = c^2,

10^2 + 7^2 = 13^2,

100 + 49 = 169,

149 ≠ 169,

So the Flower Garden will not be in the shape of a right Δ

Mr. Marlon buys these tickets for his family to visit the water park. the total cost of is $210. write and solve an equation to find the cost of each ticket .​

Answers

Answer:

$52.50

Step-by-step explanation:

there are 4 tickets including him it costed him 210 for all 4 of them.

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