the height of a cone is 16 cm and its base radius is 12 cm. find the curved surface area and the total surface area of the cone​

Answers

Answer 1

Answer:

A≈1206.37 cm²

Step-by-step explanation:

Radius = 12

Height = 16

Using the formulas

A= πrl+πr²

l = √r²+h²

A=πr(r + √h²+r²)=

π·12·(12+√16²+12²) ≈1206.37158cm²

The Height Of A Cone Is 16 Cm And Its Base Radius Is 12 Cm. Find The Curved Surface Area And The Total
Answer 2

Given :

The height of a cone is 16 cm.Its base radius is 12 cm.

To Find :

The curved surface area of the cone. The total surface area of the cone.

Solution :

h = 16 cmr = 12 cm

Here,

h is denoted as height. r is denoted as radius.

So, from l² = h² + r², we have :

The slang height of the cone is represented by l.

[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ {h}^{2} + {r}^{2} \: }cm }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ {(16)}^{2} + {(12)}^{2} \: }cm }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ 256 + 144 } \: cm }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ 400} \: cm }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ \: \bf l = 20 \: cm }}[/tex]

So, Curved surface area = [tex] \pi{rl}[/tex]

[tex]{\qquad \sf \dashrightarrow \: 3.14 \times 12 \times 20 \: {cm}^{2} }

[/tex]

[tex]{\qquad \bf \dashrightarrow \: 753.6 \: {cm}^{2} }

[/tex]

Further, total surface area = [tex] \pi{rl} + \pi{ {r}^{2} }[/tex]

[tex]{\qquad \sf \dashrightarrow \: (753.6 + 3.14 \times 12 \times 12 )\: {cm}^{2} }[/tex]

[tex]{\qquad \sf \dashrightarrow \: (753.6 + 452.16 )\: {cm}^{2} }[/tex]

[tex]{\qquad \bf \dashrightarrow \: 1205.76 \: {cm}^{2} }[/tex]


Related Questions

PLEASEE HELP!!

Write and equation for this graph in slope- intercept form.

Answers

-2/1. You find two point that go on the line and if it’s going down it’s negative

Answer:

-1.25x+2

Step-by-step explanation:

x intercept = 2.5

y intercept = 2

0-y intercept/x intercept-0 = m

0-2.5/2-0 = -1.25

Equation form:

y = m*x+b where b is  the y intercept.

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To put it all together,

y = -1.25x+2

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Answers

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Answers

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Step-by-step explanation:

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Answer:

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Answers

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Does anyone know the answer for 7 and 8?

Answers

Answer:

7) A    8) C

Step-by-step explanation:

number 7 tells us that y=x+1

so we just basically plug it in

2x+3(x+1)=4  Answer: A

to eliminate x's in number 8, we have to multiply one of the equations by -1

let's multiply the second one

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What Is the coordinates for this translation 6 units left and 3 units down......

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Answer:

Step-by-step explanation:

I will give brainliest who ever answer this question:) Thank you!

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Answer:

2(x-4)+2(2x+5)

Step-by-step explanation:

The perimeter of a rectangle is 2(length)+2(width). Thus, the side values can be simply plugged into this equation.

Answer:

P = 2(2x+5) + 2(x-4)

Step-by-step explanation:

Perimeter is found by adding all sides

(2x+5) + (2x+5) + (x-4) + (x-4)

Notice there are two sets of sides.

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Step-by-step explanation:

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Insurers use a process of selecting and classifying insurance applicants to prevent individuals who have a higher-than-average probability of loss from obtaining insurance at average rates. This process is called

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Answer:

This process is called

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Step-by-step explanation:

mia picked 1 cup of strawberries for a cake which is enough for 3/4 of the cake how many cups does she needs for the whole cake

Answers

Answer:

to make the full cake the strawberries required will be (4/3) cups.

Step-by-step explanation:

For the given data set; 2, 5, 7, 9, 11, 15 , 17 find the range.

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15. Subtract the smallest number from the largest

Identify the range of the function shown in the graph

Answers

Answer:

a

Step-by-step explanation:

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Answers

Y-intercept of line a is -1
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after a tourist covers 36% of the lenght of a route, he notices that he still has 240 km to park. What is the length of the route?​

Answers

Answer:

375km

Step-by-step explanation:

The tourist has already covered 3% of the journey.

So the remaining distance to be covered is 64% f the total journey.

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Therefore 64% of the journey = 240km

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  y km --> 100%

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In an arithmetic sequence, the third term is 1 and the ninth is 49. What is the explicit formula for the sequence?

A) a n = 8n − 15
B) a n = −8n − 15
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D) a n = −8n − 23​

Answers

Answer:

C

Step-by-step explanation:

A) a(n) = 8n - 15

this is incorrect because if n = 3, then a = 9 not 1.

B) a(n) = -8n-15

this is incorrect because if n = 3, then a = -39 not 1.

C) a(n) = 8n-23

this is correct because if n = 3, then a = 1, and if n = 9, then a = 49.

D) a(n) = -8n-23

this is incorrect because if n = 3, then a = -47 not 1.

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Also, please mark me as brainliest!


HELPPP!!! BRAINLEST??

Answers

Answer:

1/3

Step-by-step explanation:

1 cup and 6 hours (5) over total (15)

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Answers

Answer:

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Step-by-step explanation:

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Answers

[tex]\\ \rm\Rrightarrow 7x+10+3x+10=180[/tex]

[tex]\\ \rm\Rrightarrow 10x+20=180[/tex]

[tex]\\ \rm\Rrightarrow 10x=160[/tex]

[tex]\\ \rm\Rrightarrow x=16[/tex]

Now

z=7x+10=7(16)+10=112+10=122°y=3x+10=3(16)+10=48+10=58°

Answer:

y = 58°

z = 122°

Step-by-step explanation:

Linear pair: a pair of adjacent angles formed when two lines intersect. The two angles are always supplementary and so their measures sum to 180°.

Therefore,

(7x + 10) + y = 180

(3x + 10) + z = 180

Alternate interior angle theorem: when 2 parallel lines (AB and CD) are cut by a transversal (EF), the resulting alternate interior angles are equal.

Therefore,

y = (3x + 10)

z = (7x + 10)

Substituting y = (3x + 10) into (7x + 10) + y = 180 and solving for x:

⇒ (7x + 10) + (3x + 10) = 180

⇒ 10x + 20 = 180

⇒ 10x = 160

⇒ x = 16

Calculate angle y and angle z by substituting the found value for x into their equations:

y = 3(16) + 10 = 58°

z = 7(16) + 10 = 122°

Answer and you worlds smartiest.

Answers

Answer:

A.

Step-by-step explanation:

By using elimination, you get 0 = 1, which isn't a solution.

Let me know if this helped, brainly is appreciated <3

Answer:

The first answer choice (3x + y = 8 and 3x + y = 9)

Step-by-step explanation:

You can't have 3x + y equal 8 and 9.

It must only be 1 value.

please answer B and C for me, i already know A.

Use the information below to answer 1–3.
Three students are playing a video game. Each player is randomly
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5 blue, 6 green, and 3 red characters. After each character is picked,
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A. What is the probability that the first player does not get a blue character?

B. The first player gets a blue character. What is the probability that the
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C. Both the first and second players get blue characters. What is the
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Answers

Answer: B: 4/13, C: 3/4

B:

There were originally a total of 14 characters (including 5 blue characters) from the collection. Since the first player got a blue character, there are now 13 characters to choose from and 4 of them are blue. Therefore, the probability is 4/13.

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X=1 and x=3 write the quadratic equation

Answers

x2^-3x+1

Step-by-step explanation:

All you have to do is the 3 Forms of Quadratic Equations

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Factored Form: y = a ( x − r 1 ) ( x − r 2 ) y=a(x-r_1)(x-r_2) y=a(x−r1)(x−r2)

Vertex Form: y = a ( x − h ) 2 + k y=a(x-h)^2+k y=a(x−h)2+k.

Can someone explain this question to me please

Answers

you plug in the (x,y) from the graph into the solution, once you solve the solution if those two numbers equal your -4, then it is a solution

Replace x in y in the equation and see if it is true:

5x + 3y = -4

5(-5) + 3(7) = -25 + 21 = -4  

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5(1) + 3(-3) = 5 + -9 = -4

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Answers

Answer: 78

Step-by-step explanation:

Step 1:

Substitute the variables in:

6(9) - 8(-3)

Step 2:

Multiply to get rid of the parentheses:

54 - -24 = 54 + 24 (the two negatives cancel out)

Step 3:

Add, and then you're done:

54 + 24 = 78

hope this helps :)


1. Lennox is in NYC and has $10 to get to his destination. The taxi charges $0.75 per mile with
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Answers

Answer:

(10-2.35)/.75 =10.2 miles.

Step-by-step explanation:

Re-write the quadratic function below in Standard Form
y = 2(x – 5)2 – 3

Answers

Answer:

y=2x-13

Step-by-step explanation:

PEMDAS

Distribute parenthesis --> y=2x-10-3

Add like numbers --> y=2x-13

Pls help!

Find the perimeter and area the figure.


last question i Promise! :)

Answers

Answer:

Perimeter: 37.4

Area: 74.1

Step-by-step explanation:

Perimeter is 2(5.7) + 2(13) = 11.4 + 26 = 37.4

Area is 5.7*13 = 74.1

Let me know if this helped! Brainliest is appreicated <3

sean had 40 red marbles and 36 green marbles.he won some more red marbles and the number of green marbles is now 2/5 of sean total marbles. how many red marbles did he win

Answers

Answer:

14

Step-by-step explanation:

*Notice that number of green marbles did not change throughout

Therefore,

36 green marbles -> 2/5 of Sean total marbles

Sean's total marbles = 36/2 *5 = 90

Number of red marbles won = 90-36-40 = 14

What is the y-value when x equals-12? y=-200 - 6(x)

Answers

Step-by-step explanation:

y= -200 - 72

y= -272

because -a - b = -x

this is a formula

Multi-Step Find the angle measures of each inscribed quadrilateral.
10-13 20 points please help

Answers

The angle measure of each inscribed quadrilateral is as follows;

10

∠P = 90°

∠R = 90°

∠Q = 140°

∠S = 40°

11.

∠A = 70°

∠C = 110°

∠ B  = 115°

∠D = 55°

12.

∠B = 100°

∠D = 80°

∠E = 141°

∠C = 39°

13.

∠V = 101°

∠T  = 79°

∠U = 86°

∠W = 94°

Cyclic Quadrilateral

A cyclic quadrilateral has all it vertices on the circumferences of the circle .   opposite angle of a cyclic quadrilateral add up to 180 degrees. The sum of the whole angles add up to 360 degrees. Therefore, tha angle measure of each inscribed quadrilateral is as follows

10.

5x + 20 + 7x - 8 = 180

12x + 12 = 180

12x = 180 - 12

12x = 168

x = 168 / 12

x = 14

Therefore,

∠P = 5x + 20 = 5(14) + 20 = 90°∠R = 90°∠Q = 10x = 10(14) = 140°∠S = 40°

11.

4z - 10 + 10 + 5z = 180

9z = 180

z = 20

Therefore,

∠A = 4z - 10 = 4(20) - 10 = 70°∠C = 110°∠ B = 6z - 5  = 6(20) - 5 = 115°∠D = 55°

12.

1 / 2 z + 1 / 4 z + 30 = 180

3 / 4 z + 30 = 180

3 / 4 z = 150

3z = 600

z = 600 / 3

z = 200

Therefore,

∠B = z / 2 = 200 / 2 = 100°∠D = z / 4 + 30 = 200 / 4 + 30 = 80°∠E = z - 59 = 200 - 59 = 141°∠C = 39°

13.

15y - 4 + 12y - 5 = 180

27y = 180 + 9

y = 189 / 27

y = 7

14 + 4x + 6x - 14 = 180

10x = 180

x = 18

Therefore,

∠V = 15y  - 4 = = 101°∠T  = 79°∠U = 14 + 4x= 14 + 72= 86°∠W = 94°

learn more on quadrilateral here: https://brainly.com/question/9177423

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