The shape of a glass stopper is composed of a hemisphere of radius 3 cm and a right circular cone with a slant height of 5 cm as shown. Find the total surface area of the glass stopper. (Take 3.14) ​

Answers

Answer 1

Answer:

Total Surface Area = 150.72 cm

Step-by-step explanation:

Surface Area of a cylinder = 2 × area of base + lateral face

First find the area of the base

Area of Base = πr² ( pi × radius squared ) ( pi = 3.14 )

AB = 3.14 × 3²

AB = 3.14 × 9

Area of Base = 28.26

Next, find the lateral face

Lateral Face = circumference of base × altitude

( circumference of base = 2πr ) ( altitude = height of the cylinder )

LF = 2 × 3.14 × 3

Lateral Face = 18.84

Last, is the Surface Area

Surface Area of a cylinder = 2 × area of base + lateral face (formula)

SA = 2 × 28.26 + 18.84 × 5

SA = 56.52 + 18.84 × 5

SA = 56.52 + 94.2

Total Surface Area = 150.72


Related Questions

1. What is the cost of 3 Bur Oak trees? Show your work.

Answers

Answer:

$96

Step-by-step explanation:

6^4 • 3^4 and 18^8, Are the expressions equivalent? I’m only talking about C in the photo.

Answers

Hey there!

6^4 * 3^4 = ?

6^4

= 6 * 6 * 6 * 6

= 36 * 36

= [1,296]

3^4

= 3 * 3 * 3 * 3

= 9 * 9

= [81]

1,296 * 81

= [104,976]

6^4 * 3^4 = [104,976]

Now let’s see if 18^8 is equivalent to 18^8

18^8

= 18 * 18 * 18 * 18 * 18 * 18 * 18 * 18

= 324 * 324 * 324 * 324

= 104,976 * 104,976

= [11,019,960,576]

Therefore, 11,019,960,576 ≠ 104,976 because It is way too big to be equations answer

Answer: [NO], they aren’t equivalent because 18^8 is too big to equal to 6^4 * 3^4

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Original price: $60; Markup: 15%; Retail price:

Answers

Answer:

Retail Price = $69

Step-by-step explanation:

Original Price = $60

Markup = %15

Retail Price = $60 + (0.15 * $60)

Solve:

We can say that 60 is 100% of 60 or 1 x 60

So the equation is:

1 x 60 + 0.15 x 60 = Retail Price

1.15 x 60 = Retail Price

Retail Price = 69

-Chetan K

Answer:

Original Price is $60

But it is markup 15%

(15x60) / 100 = 9

the 15% of 60 is 9

60 + 9  = 69

Now the retail price is $69

Step-by-step explanation:

What is the traslation rule?

Answers

Mapping Rule A mapping rule has the following form (x,y) → (x−7,y+5) and tells you that the x and y coordinates are translated to x−7 and y+5. Translation A translation is an example of a transformation that moves each point of a shape the same distance and in the same direction.

Answer:

(X,Y)

Step-by-step explanation:

depends on the number so if it is (x-7) which is left 7 (y+5) up 5

find the product of 0.56x0.3=

Answers

Step-by-step explanation:

product : 0.56×0.3 = 0.168

hope this helps you.

Plz plz help fast
I will mark Brainlyist

Answers

Answer: BUL

Step-by-step explanation:

Answer:

⃤  RED =  ⃤  BUL

By rule Rotation

Solve for x.
7)
B) 7
Di 12
C) -2

Answers

Answer:

x = - 7

Step-by-step explanation:

Sum of interior angles is a triangle is 180,

70 + 55 + 62 + x = 180

187 + x = 180

x = 180 - 187

x = - 7

Answer:

C) -7

Step-by-step explanation:

1. All the angles in a triangle add up to 180°. This means that x + 62 + 70 + 55 = 180.

2. (Solving equation above)

Step 1: Combine like terms.

[tex](x)+(62+70+55)=180[/tex] [tex]x+(132+55)=180[/tex] [tex]x + 187=180[/tex]

Step 2: Subtract 187 from both sides.

[tex]x+187-187=180-187[/tex] [tex]x = -7[/tex]

Step 3: Check if solution is correct.

[tex]-7+62+70+55=180[/tex] [tex]55+70+55=180[/tex] [tex]125+55=180[/tex] [tex]180=180[/tex]

Therefore, the answer is C) -7.

please help I have 16 minutes left someone please answer this

Answers

1/2 x + 2 = x - 2

Multiply both sides by 2

2 × ( 1/2 x + 2 ) = 2 × ( x - 2 )

x + 4 = 2x - 4

Add both sides 4

x + 4 + 4 = 2x - 4 + 4

x + 8 = 2x

Subtract both sides x

x - x + 8 = 2x - x

x = 8

Pls write all the answers and explanations

Answers

Answer:

I did this i got  5,-2

Step-by-step explanation:

sry if wroung i got this right on my test and passed

2t/t-5 + 1/t-3 = 3
Help..​

Answers

Answer:

1/9

Step-by-step explanation:

1) simplify the expression

Group like terms: (2-5-3) + 1/t = 3

Simplify the arithmetic: -6+1/t=3

2) Isolate the t

Multiply to both sides by t: -6+1/t=3t

Expand the parentheses: -6t+1t/t=3t

Simplify the left side: -6t + 1 = 3t

3)  Group all t terms on the left side of the equation

Subtract 3t from both sides: -6t+1-3t=3t-3t

Group like terms: -6t-3t+1=3t-3t

Simplify the arithmetic: -9t+1=3t-3t

Simplify the arithmetic: -9t+1=0t

Simplify the right side: -9t+1=0

4. Group all constants on the right side of the equation

Subtract 1 from both sides: -9t+1-1=0-1

Simplify the arithmetic: -9t=0-1

Simplify the arithmetic: -9t=-1

5. Isolate the t

Divide both sides by-9: -9t/-9=-1/-9

Cancel out the negatives: 9t/9=-1/-9

Simplify the fraction:t=-1/-9

Cancel out the negatives: t=1/9

please answer this question

Answers

Answer:

Graph C

Step-by-step explanation:

They are "opposites" for each other, and aside from 0, are functions.

Son "opuestos" entre sí y, a excepción de 0, son funciones.

3 ounce serving up today provides 21 g of protein is equivalent ratios to find how many grams of protein are in 9 ounces of tuna

Answers

Answer:

Step-by-step explanation:

63 grams because 21 x 3 = 63

A dive ring on the bottom of the pool is 10 feet below the surface of the water. Sabine dives down and brings the ring back to the surface. What integer represents the dive ring's final position with respect to the surface of the water.

Answers

The final position of the dive ring with respect to surface of water ls 0.

Representing position using integer :

10 feets below the surface = - 10

To recover the ring, then, Sabine needs to 10 feets below the surface.

The surface the water = sea level position = 0

Since, Sabine takes the ring back to the surface, then the final position of the dive ring will be the sea level.

The final position of the dive ring = 0

We know that we use negative sign in integers to show a value is decreased or dropped and positive sign to show increase or rise.

Given : A dive ring on the bottom of the pool is 10 feet below the surface of the water. Sabine dives down and brings the ring back to the surface.

i.e. Integer represents the distance Sabine dives down = -10 feet  (1)

and Integer represents to come back to surface = +10  feet  (2)

Now, the final position will be (combine (1) and (2)) :

-10+10=0

Thus, the integer represents the dive ring's final position with respect to the surface of the water = 0

In a class full of men and women,4/9 of the class are women.What is the ratio of men to women in its simplest form.

Answers

5:4
is the ratio of men (5) to women (4)

Answer:

4/9 is already in its simplest form.

Step-by-step explanation:

There is no number besides 1 that can go into both numbers therefore it is in its simplest form already.

Brainliest if you liked the answer

Are these two equations parallel, perpendicular, or neither?
y = 5/4x + 17 and -5x + 4y = -16

Answers

Answer:

they are parallel

Step-by-step explanation:

453.86452 rounded to 2dp

Answers

Answer:

2 dp= 453.86

have a nice day <3

given:

453.86452

to find:

2 decimal place of 453.86452

solution:

to round off to 2 dp, if the digit in thousandth place is 5 or more round up, if not keep it as it is.

=453.86

hence, the 2dp of 453.86452 is 453.86

1) A jewelry store bought 8 beautiful diamond necklaces. Each necklace cost $9,000. How
much did the jewelry store spend on the necklaces?

Answers

Answer:

$72,000

Step-by-step explanation:

Since, a jewelry store bought 8 beautiful diamond necklaces and each cost $9,000 that means;

1 = $9,000

2 = $18,000

3 = $27,000

4 = $36,000

5 = $45,000

6 = $54,000

7 = $63,000

8  = $72,000

or to summarize;

9,000 x 8 = $72,000

As a result, the jewelry store spend $72,000 on the necklaces.

RevyBreeze

b) 105^2 as a product of its prime factors.

Answers

Answer:

11025 = 3^2×5^2×7^2 (6 prime factors, 3 distinct)

Step-by-step explanation:

[tex]3 {}^{2} \times 5 {}^{2} \times 7 {}^{2} [/tex]

Answer:

3²×5²×7²

Step-by-step explanation:

Hope this helps

f(a) = (a + 2)
g(a) = 5a + 4
Evaluate.
g(f(-2)) =

Answers

Answer:

here's the answer -2gf

Step-by-step explanation:

hope this helps

PLEASE ANSWER THIS QUESTION!!!

The power, P (watts), of a car engine is proportional to the square of its speed, s (m/s).
When s=35, P=2200.
Work out the power (to 1 DP) when the speed is 40 m/s​

Answers

Answer:

THE ANSWER!!!!!!!!!!

Step-by-step explanation:

The power, P (watts), of a car engine is proportional to the square of its speed, k%28m%2Fs%29; it means if you have two different powers and speeds, you will have a proportion

P%3Ak%5E2=P%5B1%5D%3Ak%5B1%5D%5E2 or

P%2Fk%5E2=P%5B1%5D%2Fk%5B1%5D%5E2

When given:

k=35, P=2200

Work out the power P%5B1%5D (to 1DP) when the speed is k%5B1%5D=40%28m%2Fs%29

so,

P=2200

k=35

k%5B1%5D=40

and you need P%5B1%5D

2200%2F35%5E2=P%5B1%5D%2F40%5E2

2200%2F1225=P%5B1%5D%2F1600

1.79592=P%5B1%5D%2F1600

1.79592%2A1600=P%5B1%5D

P%5B1%5D=2873.5 watts

Does anyone know or get what to do here? Please help

Answers

Answer:

`1

Step-by-step explanation:

4x+8<2x+2

this has quite a bit of points

Answers

Answer:

x= −3

Step-by-step explanation:

4x+8<2x+2

Subtract 2x from both sides.

4x+8−2x<2

Combine 4x and −2x to get 2x.

2x+8<2

Subtract 8 from both sides.

2x<2−8

Subtract 8 from 2 to get −6.

2x<−6

Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.

x<  

2

−6  

Divide −6 by 2 to get −3.

x<−3

Hope this helps :)  

Pls make brainliest :3  

And have an amazing day <3

Answer: x < -3

Step-by-step explanation:

What will be the new coordinates for I?

Answers

Answer (2,-5) when it is reflected across x=3

cual es el numero que aumentado en 16 da 46

Answers

Answer:

i think that it is 30 i'm not so sure

Step-by-step explanation:

Can someone please help me?

Answers

Answer:

[tex]cosx=\frac{67}{77} =>x=29.5[/tex]

Step-by-step explanation:

[tex]\sqrt{49}[/tex] = ____

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

± 7

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

A square root of a number is a number that multiplies by it's self to produce a desired product. We are asked to find the square root of 49.

⸻⸻⸻⸻[tex]\text{\textbf{Since...}}\\\\7 * 7 = 49\\\\-7 * -7 = 49 \text{ \textbf{ REMEMBER:} Two negative numbers would have a positive product.}\\\\\text{We can conclude that...}\\\\\boxed{\sqrt{49} = \pm 7}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Find the volume of the cylinder. Round your answer to two decimal places

Answers

Answer:

565.48

Step-by-step explanation:

Volume for a cylinder equation: V=π(r²)h

π(3²)20 = 565.48cm³

Divide. (x^3-9x-4)-:(x^2-3x+2)
Group of answer choices
x+3+(-20x+2)/(x^2-3x+2)
x-6 +(-20x+8)/(x^2-3x+2)
x+3 +(-2x-10)/(x^2-3x+2)
x-3 + (2x-10)/(x^2-3x+2)

Answers

Answer:x+3+(-20x+2)/(x^2-3x+2)

Step-by-step explanation:

what is the estimate
of 8x 60

Answers

Answer:

480

Step-by-step explanation:

8 x 60 = 480

Hope this helped! Have a wonderful day! :)

someone help me please

Answers

Answer:

∛27 = 3

Step-by-step explanation:

A radical is simply a fractional exponent: [tex]a^{(\frac{m}{n})} = \sqrt[n]{a^{m} }[/tex]

Hence, ∛27 = [tex]27^{(\frac{1}{3})}[/tex]

Since 27 = 3³, then:

You could rewrite ∛27 as ∛(3)³.

[tex]\sqrt[3]{3^{(3)} } = 3^{[(3)*(\frac{1}{3})]}[/tex]

Multiplying the fractional exponents (3 × 1/3) will result in 1 (because 3 is the multiplicative inverse of 1/3). The multiplicative inverse of a number is defined as a number which when multiplied by the original number gives the product as 1.

Therefore, ∛27 = 3.

the answer is 3 because the little 3 on top of the 27 means ur multiplying a number 3 times to get 27. so it’s 3<3
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