What is the surface area of the cylinder with height 2 ft and radius 4 ft? Round your answer to the nearest thousandth.

Answers

Answer 1

Answer:

Lateral surface area:

A = 2πrh = 2*3.14*4*2 = 50.24 ft²

Total surface area:

S = 2πrh + 2πr² = 50.24 + 2*3.14*4² = 150.72 ft²
Answer 2

Answer:

Surface Area = 150.796 ft² (nearest thousandth)

Step-by-step explanation:

Surface area of a cylinder

[tex]\sf SA=2 \pi r^2+2 \pi rh[/tex]

where:

r is the radiush is the height

Given:

radius (r) = 4 ftheight (h) = 2 ft

Substitute the given values into the formula and solve for SA:

[tex]\begin{aligned}\sf SA & = \sf 2 \pi r^2 + 2 \pi rh\\\implies \sf SA & = \sf 2 \pi (4)^2 + 2 p\i (4)(2)\\& = \sf 2 \pi (16) + 2 \pi (8)\\& = \sf 32 \pi + 16 \pi \\& = \sf 48 \pi \\& = \sf 150.7964474... \\& = \sf 150.796 \:ft^2\: (nearest\:thousandth)\end{aligned}[/tex]

Therefore, the surface area of the cylinder with height 2 ft and radius 4ft is 150.796 ft² (nearest thousandth).


Related Questions

HELPPPPPP

Based on the graph below, what are the solutions to the equation f(x) = g(x)? (5 points)

graph of function f of x equals 3 times x minus 1. Graph of function g of x equals x cubed minus 3 times x squared minus 4 times x plus 12



x = −2.4, 1.4, 3.9

x = −2.4, 0.25, 1.4

x = −2, 2, 3

x = −2, 1, 3

Answers

Answer:

x = −2.4, 1.4, 3.9

Step-by-step explanation:

i literally just took the test so ik for sure its right:)

-2a2-4a+16 cuando a=-2​

Answers

Answer:

0

Step-by-step explanation:

-2 * -2 = 4

4  * 2 = 8

4 * -2 = -8 + 16 = 8

8-8 = 0

The perimeter of rectangle living room is 40 m the living room is 10 m wide what is the length of the living room

Answers

Answer:

Width of the room = 5 meters

Step-by-step explanation:

the rectangular living room is calculated as length * width

The area is given to be equal to 40 sq. meters (area = 40 sq. meters)

Let the width = x meters

Length = X+3 meters

Area = Length * Width

40 = X * (X+3)

40 = X^2 + 3X

We solve this quadratic equation

So x = 5 or x= -8

Width  cannot be negative, so we reject x =-8

So x = 5 is the answer

Answer:

10

Step-by-step explanation:

i got it right

HELPPP PLEASEEEEE, BRIANLEST WILL BE GIVEN ON CORRECT!​

Answers

6/5=1,

11/7=2,

21/4=5,

32/7=5,

24/9=3

25/6=4

Hope this helps xoxo

hello i neeed help with my math question 5

Answers

Answer:

Add a file to it.

Step-by-step explanation:

We can't see anything.

LINKS WILL GET REPORTED PLS HELP CLICK TO SEE

Answers

Answer:

14

Step-by-step explanation: add all the x's and you get 14 that show's how many apples her clients ate last week

What is the volume of a cone with a radius of 5 inches and a helght of 12 inches ? (Use 3.14 for pi)

Answers

Answer:

Same Class lol

Step-by-step explanation:

Find the measure of arc DC ?

Answers

The measurement of DC is 155

what is the value of y when
-5= y-7 over 9

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

each minute your heart pumps 1.5 gallons of blood around your body. How many pints of blood will your heart pump in a day? PLEASE HELP ME

Answers

Answer:

So there are 60 minutes in an hour, and since there are 24 hours in a day you will multiply 60 by 24:

60 * 24 = 1440.

That multiplied by 1.5 is 2160, so that would be your answer.

Step-by-step explanation:

Hope it helps! =D

Convert the degree measure to radians or the radian measure to degrees. Then find one positive angle and one negative angle that is coterminal with the given angle.


1. -560°


2. 170°

Answers

-560° in radian is -28π/9 radian and the positive and negative coterminals are 8π/9 and -10π/9 respectively.

170° in radian is  17π/18 radian and the positive and negative coterminals are 53π/18 and -19π/18 respectively

How to convert the degree measure of angle to radians?

An angle can be converted from degree to radian by multiplying it by π/180.

1. -560°

-560° × π/180 = -28π/9 radian

2. 170°

170° × π/180 = 17π/18 radian

In general, if θ is any angle in radian, then θ + n(2π) is coterminal angle with θ, for all nonzero integer n.

coterminal of -28π/9:

positive: -28π/9 =  -28π/9 + 2(2π) = 8π/9

negative: -28π/9 =  -28π/9 + 2π = -10π/9

coterminal of 17π/18:

positive: 17π/18 =  17π/18 + 2π = 53π/18

negative: 17π/18 =  17π/18 - 2π = -19π/18

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Please answer these question(s)! It has to do with math statistics. I will give you brainliest and thanks!

Answers

Answer:

2

Step-by-step explanation:

Count how many edges use that vertex as an endpoint. In this case B and E.

Homework help!

y=2x + 10

whats the initial amount?
whats the growth/decay factor or slope?

Answers

Answer:

10

2

Step-by-step explanation:

if x=0 => y = 2(0)+10= 10

y = mx + c

m = slope factor

=> y = 2x + 10

so, slope factor = 2

A measurement of 50.8 centimeters is equivalent to how many inches? A. 25 B. 12 C.20 D. 10

Answers

Answer: C. 20

Step-by-step explanation:

1 inch is equal to 2.54 cm.

So we have to divide the amount of centimeters given by how many centimeters are in an inch to find how many inches.

50.8 ÷ 2.54 = 20

Hope this helps!!! :)

too dice are tossed simultaneously, what is the
probability that
the sum of their squares is more than 7

Answers

Answer: 5/13

Step-by-step explanation:

36 possible outcomes

the highest the sum can be is 12

so 8, 9, 10, 11, and 12 are all options

2+6, 4+4, 3+5, 5+3, 6+2 - for 8

3+6, 4+5, 5+4, 6+3 - for 9

4+6, 5+5, 6+4 - for 10

5+6, 6+5 - for 11

6+6 - for 12

total - 15/36 or 5/13

A giant satellite dish is in the shape of a parabolic surface. Signals coming from a satellite strike the surface for the dish and are reflected to the focus, where the receiver is located. The satellite dish has a diameter of 300 feet and. depth of 44 feet. How far from the base of the dish should the receiver be placed? Round your answer to the nearest foot.

Answers

The answer of given parabola question is 6.125ft.

The definition of a parabola?

a curve produced by the intersection of a cone's surface with a plane perpendicular to a straight line; a curve produced by a moving point whose distance from a fixed point is equal to its distance from a fixed line.

x² = 4py

x=radius which can be found by dividing d=14ft by half

x = d/2 = 11/2 = 7ft

y=2ft is the depth

p is the vertex of the parabola

finding p;

p = x²/4y

p = 7²/4×2

p=6.125ft

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Help me please?!?!!? I’ll give brainly!

Answers

Answer:

its the third one (6-2) x 5

Step-by-step explanation:

(6-2) × 5

Step-by-step explanation:

It's for 5 TIMES the DIFFERENCE of 6 and 2. I hope this helps, have a good day!

whats -8 + 1????????

Answers

Answer:

-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

Before a renovation, a movie theater had 112 seats. After the renovation, the theater has 168 seats. What is the approximate
percentage increase of the number of seats in the theater? If necessary, round to the nearest tenth of a percent
OA. 33.3%
ОВ.
50%
OC. 56%
OD. 20%

Answers

First off, you want to know the actual numerical increase there has been. That is 168-112, which is 56.

So find 56 in terms of percentage of 112. To do so, simply divide 56/112 to get 0.5. That is 50.0% in terms of percentage.

The answer is B.

jane used $68 more than two fifths of her last paycheck to purchase a new surfboard. If the surfboard cost $289, find the amount of her paycheck.

Answers

Answer: Let x be the amount of Jane's paycheck.

We know that:

surfboard cost = $289

and jane used $68 more than two fifths of her last paycheck to purchase a new surfboard.

So we can set an equation as:

surfboard cost = 2/5 x + $68

289 = 2/5 x + 68

Now we can substitute the known value in the above equation:

289 = 2/5 x + 68

221 = 2/5 x

x = (2215) / 2 = 115 = 55

So the amount of her paycheck is $55.

Therefore, jane's last paycheck was $55.

Step-by-step explanation:

Directions: Find the area of each shaded region. Assume that all angles that appear to
be right angles are right angles.

Answers

Answer:

#1

10*3.7/2 = 18.5 m² (both the triangle and rectangle have same base and height)

#2

3.14*6² - 2² = 109.04 m²

#3

4.1*8.2/2 = 16.81 cm² (the square is half the rectangle)

#4

18² - 3.14*9² = 69.66 dm²

#5

It's not clear what is shaded. Giving all options

1. Rectangle in the middle:

4*3.4 = 13.6 m²

2. Two semicircles:

3.14*2² = 12.56 m²

3. Total area:

13.6 + 12.56 = 26.16 m²

Which of the following statements is TRUE based on the information given?

If you can’t see, my apologies, but you can zoom in so you can see the answer choices!

DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER! Whoever answers correctly will get Brainliest! :)

Answers

Answer:

B

Step-by-step explanation:

The sum of the angle 1, 2 and 3 is 180 degrees , so B is the correct answer, because 70 + 110 = 180

Answer:

b

Step-by-step explanation:

In Exercises 7-8, find the domain of the function.

7. f(x) = x-5/x + 2

8. h(x) = 4x²

Answers

On solving the provided question, we can say that - the value of the function is = x-5/x + 2 => x= 2  => -3/4

what is function?

The topic of numbers, formulae and associated structures, forms and the areas where they exist, quantities and their variations, and spaces where they exist are all included in the field of mathematics. An association between a collection of inputs, each of which has an output, is known as a function. A function is, to put it simply, a relationship between inputs and outputs, where each input has a single, specific outcome. A domain and a codomain, or scope, are assigned to each function. Typically, f is used to represent functions (x). input is x. Four different sorts of functions are available. Based on the following items: One-to-one functions, many-to-one functions, on functions, one-to-one functions, and within functions.

x-5/x + 2

x= 2

-3/4

ans also  4x² = 4 *2*2 = 16

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find the value c that will make 9x^2 +30x+c a perfect square trinomial

Answers

Answer:

[tex] c = 25[/tex]

Step-by-step explanation:

Given :-

A quadratic equation is given to us.The equation is 9x² + 30x + c .

And we need to find out the value of c for which the given trinomial is a perfect square. On looking at the given expression all the terms are having positive signs before them .So we can rewrite it on the basis of ,

Identity :-

[tex]\implies (a+b)^2=a^2+b^2+2ab[/tex]

Let's try to set the equation on this Identity .

The firsr term is 9x² . We can write it as ,

[tex]\implies 9x^2=(3x)^2[/tex]

Hence the middle term here should contain 3 and 2 as their factors. Let's Break the middle term .

[tex]\implies 30x = 2.3x.5 [/tex]

Therefore in order to make the whole expression as perfect square 5² must be replaced by c . The expression would become ,

[tex]\implies 9x^2+30x + 5^2 \\\\\implies (3x)^2+2.3x.5 +5^2\\\\\implies (3x+5)^2[/tex]

Hence the value of c should be 25 .

C = 25 you just multiply step by step exactly how it shows it on the problem/how u wrote it

For brainliest and 50 points!!!​

Answers

The statements in if-then form are given as follows:

If it is right-angled, then it is 90 degreesIf x=6, then x² = 36If two angles measure 180°, then they are supplementary If your body temperature is 103°, then you have a fever If is 6pm, then it is time for dinnerIf there is gas in the tank, then the car runs If there there are 12 eggs if the carton, then it is fullIf a car is leaking antifreeze, then it has a problemIf a dog is old, then you can't teach it new tricksIf a deer has white fur and pink eyes, then it is albino

What is the value of an IF-Then Construct?

If-Then statements are a sort of variable logic that allows the variable's output to be determined conditionally. All If-Then statements must specify the circumstances and actions that should occur when those criteria are fulfilled.

If-then arguments, also known as conditional arguments or hypothetical syllogisms, are deductive logic's workhorses. They are a loosely defined class of logical arguments with an if-then statement (a conditional) as a premise. The conventional form of the conditional is If P, Q follows.

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The graph of a function f(x) passes through the following points:
(0,2), (1,0),(-1,0)
Which of the following could be f(x)?
O f(x) = - 2x2 + 2
O f(x) = 2x + 2
O f(x) = -27x + 2
O f(x) = - 2x + 2

Answers

Answer:

All of the them excluding f(x)=-27x+2

The required function is [tex]f(x)=-2x^2+2[/tex]. Hence, option a is correct.

Important information:

The graph of a function passes through the points (0,2), (1,0) and (-1,0).Quadratic function:

The graph has two x-intercepts (1,0) and (-1,0). It means it is a quadratic function and [tex](x-1)[/tex] and [tex](x+1)[/tex] are two factors.

[tex]f(x)=a(x-1)(x+1)[/tex]

[tex]f(x)=a(x^2-1)[/tex]         ...(i)

The graph passes through the point (0,2). Substitute [tex]x=0,f(x)=2[/tex] in the above function.

[tex]2=a(0^2-1)[/tex]

[tex]2=-a[/tex]

[tex]-2=a[/tex]

Substitute [tex]a=-2[/tex] in (i).

[tex]f(x)=-2(x^2-1)[/tex]

[tex]f(x)=-2x^2+2[/tex]

Therefore, the correct option is a.

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Which of the expressions below are equal to x2+2x−15? Select all that apply. A) x2+x−8+x−7 B) (x−3)(x+5) C) x(x+2+15) D) x2+x+x2+x−15

Answers

Answer:

A and B

Step-by-step explanation:

x2 + 2x − 15

A) x2 + x − 8 + x − 7

B) (x − 3)(x + 5)

A factory that makes nails uses 675 inches of metal to make 450 nails. At this rate, how many inches of metal is needed to make 1 nail?

Answers

Answer:1.5 inches

Step-by-step explanation:

Ben has 1/2 cup of sugar he uses of the 1/5 sugar. What fraction of the sugar did Ben uses to make lemonade?

Answers

Answer:

3/10

Step-by-step explanation:

i

Answer:

3/10

Step-by-step explanation:

Multiply 1/2 by 5 to reach 5/10 and 1/5 by 2 to reach 2/10. Then subtract 2/10 from 5/10 to achieve the answer 3/10.

Write each as a decimal. State whether the decimal is repeating or terminating (1-7)

Write each decimal as a fraction (8-14)

No. 4 and 7 are mixed fractions

Answers

Answer:

0.625

0.035

etc.

Step-by-step explanation:

You just have to type the fraction in the calculator

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