A cylinder has a height of 5 cm. What is the lateral and surface area of cylinder, if the circumference of one circle is 18.84 cm?

Answers

Answer 1

Answer:

Lateral Surface Area = 94.25 cm²

Surface area = 150.8 cm²

Step-by-step explanation:

A cylinder has a height of 5 cm. What is the lateral and surface area of cylinder, if the circumference of one circle is 18.84 cm?

Step 1

We have to find the radius of the cylinder

We are told in the question that:

The circumference of one circle is 18.84 cm

Circumference of a circle = 2πr

18.84cm = 2πr

r = 18.84/2π

r = 2.9984791279cm

Approximately the radius = 3cm

Step 2

We find the Lateral Surface Area of the Cylinder

The formula =2πrh

r = 3cm

h = 5cm

=2×π × 3 × 5

= 94.24778 cm²

Approximately = 94.25 cm²

Step 3

We find the Surface Area of the Cylinder

The formula =2πr(r + h)

r = 3cm

h = 5cm

=2×π × 3 × 5(3 + 5)

= 150.79645 cm²

Approximately = 150.80 cm²


Related Questions

Triangle ABC is shown. What value of x will prove that Triangle ABC is a right triangle?

Answers

In the given triangle ABC in the figure, the value obtained for x will be equal to 6.

What is a triangle?

The basic polygonal shape of a triangle has three sides & three interior angles. This is one of the fundamental shapes in geometry and is particularly associated. It has three connected vertices. Triangles can be divided into a variety of categories according to their sides and angles.

As per the given information in the question,

Use the equation of Pythagoras' theorem,

h² = p² + b²

(2x - 2)² = x² + (x - 2)²

4x² - 2(2x)(2) + 4 = x² + x² + 4 + 4x

4x² - 8x + 4 = 2x² + 4x + 4

4x² - 2x² - 8x - 4x + 4 - 4 = 0

2x² - 12x = 0

2x² - 12x = 0

2x(x - 6) = 0

So,

2x = 0

⇒ x = 0, it is not possible.

Or,

x - 6 = 0

x = 6

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The given question is incomplete, the complete question might be in the attachment.

The mass of the sun is about 1.98x10^30 kg. The mass of the Earth is about 5.97x10^24 kg. Estimate how many times bigger the mass of the sun than the mass of earth. Round to the NEAREST TENTH!

Answers

Answer:

About 333000 times

Step-by-step explanation:

What is the solution to the equation? √x+3=12

Answers

Answer:

3

Step-by-step explanation:

[tex] \sf \sqrt{x + 3 = 12} [/tex]

[tex] \sf = \sqrt{x = 12 - 3} [/tex]

[tex] \sf = \sqrt{x = 9} [/tex]

[tex] \sf = \sqrt{9} [/tex]

[tex] \sf = \sqrt{3 \times 3} [/tex]

= 3

The solution of the linear equation [tex]\sqrt{x+3} = 12[/tex]  for the variable, x is 141.

Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.

Example = 2x +4 = 12

here, 4 and 12 are constants and x is variable

The solution of the equation can be calculated as:

[tex]\sqrt{x+3} = 12[/tex]

Squaring both side,

[tex]x+3 = (12)^2[/tex]

x+3 = 144

Subtract 3 from both the sides,

x = 141

The solution of the linear equation for the variable x is 141.

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Which graph represents a proportional relationship from y to x with a constant of proportionality of 1/2

Answers

Answer:

It´s going to be B

Step-by-step explanation:

A washing machine is on clearance for 30% off. If the sale price of the washing machine is $395.49, what was the original price? Round to the nearest cent if necessary. Justify your solution.

Answers

Answer:

Discount = Original Price x Discount %/100

Discount = 395.49 × 30/100

Discount = 395.49 x 0.3

You save = £118.65

Final Price = Original Price - Discount

Final Price = 395.49 - 118.647

Final Price = £276.84. (ANSWER)

original price of washing machine is $564.99 if the sale price of the washing machine is $395.49 with 30% off.

What is Percentage?

Percentage is defined as a given part or amount in every hundred

Based on the given conditions, formulate:

x×(1-30%)=395.49

Apply multiplicative distribution

x-0.3x=395.49

Combine the like terms

0.7x=395.49

x=395.49/0.7

Convert decimal to fractions

x=(39549/100)/(7/10)

x=39549/(10×7)

x=39549/70

x=564.99

Hence original price of washing machine is $564.99

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please help with this

Answers

Answer:

5x+y=5xy

Step-by-step explanation:

Which expression is equivalent to 27x3 + 125?
-)
A)
(3x - 5)(9x2 – 15x + 25)
B)
(3x - 5)(9x2 + 15x – 25)
0
(3x + 5)(9x2 - 15x + 25)
D)
(3x + 5)(9x2 + 15x – 25)
I need help solving this please

Answers

Answer:

your answer would be C hope it helps

5. I bought a $55 swimsuit, a $15 hat, and a $40 pair of shoes. I used a coupon that gave me 40% off my total bill. How much did | spend?

quickk pls​

Answers

Answer:66  dollars

Step-by-step explanation:110 - 44 = 66

These triangles
are congruent
by the triangle
congruence
postulate [? ]
A. SAS
B. SSS
C. Neither, they are not congruent

Answers

Answer:

B-SAS

Step-by-step explanation:

Was right on acellus

what is the value of x 3/6x+9 =12

Answers

Answer:

x=6

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Solve these [7x+5](8x+3)
(3-8x)(4-5x)
2(4x+7)(6x-5)

Answers

Answer:

107520x6+89344x5−241808x4−55444x3+121478x2+6030x−12600

Step-by-step explanation:

brailiest

Answer:

nice

Step-by-step explanation:

If f (x) = x^2 + 3, evaluate f (-4).
=
A) -5
B) 19
C
11
D) -13

Answers

Answer: B) 19

Step-by-step explanation:

To solve this problem, simply plug in -4 for x:

[tex]f(x)=x^{2} +3\\f(x)=(-4)^{2} +3\\f(x)=16+3\\f(x)=19[/tex]

Hope it helps :) and let me know if you want me to elaborate/explain further

Answer:

D. -13

Step-by-step explanation:

If you substitute -4 in for x you get -4^2+3, so when you simplify you get -16+3 which equals -13.

f(x)=x^2+3

f(-4)= -4^2+3

f(-4)= -16+3

f(-4)= -13

(-15x + 21y) divide by 3

Answers

Hey! Your answer to this would be -5x + 7y

Which description best fits the graph?

Answers

Answer:

Step-by-step explanation:

U ultra

Yolanda ran three times last week. Here are the distances she ran (in kilometers).
3.99, 10, 6.4
What is the total distance Yolanda ran on these three days?

Answers

Answer:

20.03

Step-by-step explanation:

distance ran For 1st day+distance ran For 2nd day+distance ran For 3rd day.

3.99+10.6.4=20.03

Ian​'s car can go 231 miles on 7 gallons of gas. During a drive last​ weekend, Ian used 5 gallons of gas. How far did he ​drive? Use pencil and paper. Explain how the problem changes if you were given the distance Ian drove last weekend instead of how much gas he used.

Answers

Answer:

165 miles

Step-by-step explanation:

part 1

231/7= 33 mpg

33x5 = 165 miles

part 2

distance/mpg = gas used

for example: if you were told he went 200 miles,

200/33 = 6.06 gallons of gas

Given :

Ian's car can go 231 miles on 7 gallons of gas.

During a drive last weekend, lan used

5gallons of gas.

To find :-

How far did he drive?

Solution :-

According to Question ,

Car can go 231 mi on 7 gallons of gas.

Using Unitary Method ,

On 1 gallon of gas it will go 231/7mi

On 5 , it will go 231/7*5 = q65 miles

Hence the required answer is 165 miles


Simplify the algebraic expressions: 9(7x - 7)+(5x - 9)

Answers

the answer would be 68x-72

Answer:

7x-7=0

5x-9=4x

4x(9)=36

x=36

Using Substitution solve: y=x+5
4x+y=20

Answers

Answer:

3

Step-by-step explanation:

So first, plugin y to your equation, it should look like this: 4x+x+5+20. Now, we can solve this. Next, we have two x's so we can combine them. The equation will now look like this: 5x+5=20. Now, we have an extra 5 laying around that we need to get rid of, so we can subtract that 5 to both sides of the equation and we get this: 5x-5=20-5 which ends up being 5x=15. Now, we just divide both ides by 5 and since 15 divided by 5 is 3, we get: x=3

Help me please ?!?!?!?!?!

Answers

Answer:

option 3 left bottom corner

Step-by-step explanation:

Watching a Helicopter Take Off At a distance of 58 ft from the pad, a man observes a helicopter taking off from a heliport. If the helicopter lifts off vertically and is rising at a speed of 55 ft/sec when it is at an altitude of 113 ft, how fast is the distance between the helicopter and the man changing at that instant? (Round your answer to one decimal place.)

Answers

The Pythagora´s Theorem, tell us that in a right triangle, the square of the hypothenuse (L²) is equal to :

L² = x² + y²

x  and y are the legs.

The solution is

dy/dt = 48.9 ft/s

We know that in a right triangle:

L²  = x² + y²      (1)

If the helicopter lifts off vertically, that means x ( the horizontal distance between the observing man and the helicopter, maintains constant).

According to that, if we get derivatives with respect to time on both sides of equation (1) we get:

2×L× dL/dt   = 0 + 2×y×dy/dt       (2)

And

L = √ ( 58)² + ( 113)²   = √12769 + 3364    = 127.02 ft

L = 127.02 ft   when y = 113 ft

Now in equation (2) we know:

y = 113 ft    dy/dt = 55 ft/s   L = 127.02  we look for dL/dt

Then by substitution

2×127.02 × dL/dt = 2×113×55

254.04× dL/dt   =  12430

dL/dt  = 48.92

dL/dt = 48.9 ft/s

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Answers

Answer:

B

Step-by-step explanation:

Find the equation of the line that passes through (1,-2) and is parallel to y = 3x + 4.
Leave your answer in the form y = mx + c

Answers

Answer: y=3x-5

Step-by-step explanation: Find the slope of the original line. slope is m=3. Then use the point slope formula  [tex]y-y1=m(x-x1)[/tex] to find the line parallel to y=3x+4. Parallel lines have the same slope. so you substitute the given point (x1,y1)(1,-2) and slope m=3  into the point slope formula.

y-(-2)=3(x-1)  

y+2=3x-3  

y=3x-5

PLEASE help!! BRAINLIEST to correct answer!!

Answers

The general equation for a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where the center is (h,k) and the radius is r.

The equation we are given is:

[tex](x-2)^2+(y+3)^2=80[/tex]

From this, the center is (2,-3), and the radius is [tex]\sqrt{80}[/tex], or [tex]4\sqrt{5}[/tex].

Let me know if you have any questions, thanks!

Use trig identities to show that sec θ − cos θ = tanθ (sin θ)

Answers

Use [tex]\sec\theta = \dfrac{1}{\cos{\theta}}[/tex]  to get

    [tex]\sec\theta -\cos{\theta}= \dfrac{1}{\cos{\theta}}-\cos(\theta})[/tex]

Then find a common denominator:

    [tex]\dfrac{1}{\cos{\theta}}-\cos(\theta}) = \dfrac{1}{\cos{\theta}}-\dfrac{\cos^2\theta}{\cos\theta}[/tex]

But now make that one fraction:

    [tex]\dfrac{1}{\cos{\theta}}-\dfrac{\cos^2\theta}{\cos\theta} = \dfrac{1 - \cos^2\theta}{\cos{\theta}}[/tex]

But that's just sin^2 on the top

    [tex]\dfrac{1 - \cos^2\theta}{\cos{\theta}} = \dfrac{sin^2\theta}{\cos{\theta}} = \dfrac{sin\theta\cdot sin\theta}{\cos{\theta}}[/tex]

Split that fraction up:

    [tex]=\dfrac{ sin\theta}{\cos{\theta}}\cdot sin\theta[/tex]

And tan = sin/cos

    [tex]=\tan\theta\cdot sin\theta[/tex]

what is 6-11a>-49 and 5a+10≥-35 will mark brainliest

Answers

Step-by-step explanation:

6-11a>-49

-11a>-49-6

-11a>-55

a<5.

Now, according to the question, if it is

W = {0,1,2,3,4}

N = {1,2,3,4}

Z = {...,-2,-1,0,1,2,3,4}

5a+10≥-35

5a≥-35-10

5a≥-45

a≥-9.

Now, according to the question, if it is

W = {-9,-8,-7,-6,-5,-4,-3,-2,-1,01,2,3...}

Z = {-9,-8,-7,-6,-5,-4,-3,-2,-1,01,2,3...}

Now, according to your domain you will do it .

hope this helps you.

Is this relation a function yes or no ?

Answers

Answer:

Yes

Step-by-step explanation:

None of the x's repeat

Determine if the sequence 0.2 comma 1 comma 5 comma 25 comma... is arithmetic or geometric. Then identify the next term in the sequence.

A
geometric; 125

B
arithmetic; 75

C
arithmetic; 125

D
geometric; 75

Answers

Answer:

The answer would be C.

Step-by-step explanation:

0.2 x 5 = 1

1 x 5 =5

5 x 5 = 25

So your next number in the sequence should be 125.

Please help me with this question!

Answers

It’s C,
Hope it helps,
Message me if you want explanation,
Can I get brainliest answer

simplify (3a^4b^3)^3

Answers

Answer:

Step-by-step explanation:

(3a^4b^3)^3

=3^3a^4*3b^3*3

=27a^12b^9

Answer:

27(a^12)(b^9)

Step-by-step explanation:

Can be reorganized to (3^3)((a^4)^3)((b^3)^3)

27(a^12)(b^9)

8x + y = 20
x - 2y = -6

Answers

Answer: the answer is

Step-by-step explanation:

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