The cone has a base diameter of 20cm and a slant height of 25 cm.

A circle is drawn around the surface of the cone at a slant height of 10cm above the base.

The curved surface of the cone above the circle is painted grey.

Work out the area of the curved surface of the cone that is not painted grey,

Give your answer as a multiple of

You must show all your working.

Answers

Answer 1

Answer:

The area of the cone not painted is approximately 196.35 cm²

Step-by-step explanation:

The question relates to similar shapes;

We have;

The base diameter of the cone, D₁ = 20 cm

The slant height of the cone, l₁ = 25 cm

The height at which the circle is drawn, 10 cm above the base, we have; l₂ = 25 cm - 10 cm = 15 cm

Let 'x' represent the diameter of the circle formed by the drawn circle, we have;

By similar triangles, we get;

D₁/l₁ = x/l₂

x = l₂ × D₁/l₁

20/25 = x/15

x = (20/25) × 15 = 12

The curved surface area of the cone, A = π·r·l

The area of the curved surface of the entire cone, A₁ = π·r₁·l₁

r₁ = D₁/2

Therefore, we get, A₁ = π × 20/2 × 25 = 250·π

A₂ = π × 15/2 × 25 = 187.5·π

The area of the cone not painted, A = A₁ - A₂

∴ A = 250·π - 187.5·π = 62.5·π

The area of the cone not painted, A = 62.5·π ≈ 196.35

The area of the cone not painted ≈ 196.35 cm²


Related Questions

i need help with this and pleases explain this its due today

Answers

Answer:

1. x= 20/3 or 6.6666 repeating

2. x=3

3. a=39

Step-by-step explanation:

1. subtract 25 by 5 to get 20, then divide 20 by 3 to get x

2. divide 7 by 21 to get x

3. add 8 to 31 to get a equals 39

Answer:

x = 6.6 repeating 7

Step-by-step explanation:

subtract 5 on both sides

ur left with 3x = 20

divide by 3 on both sides

2. What is the value of win this equation?
5w+ 3 = 9

Answers

Answer:

w = 1.2 or 6/5

Step-by-step explanation:

math

On Tuesday, there were 400 customers at a movie theater, and each customer paid $8 for a ticket. On Wednesday, the owner of the movie theater reduced the regular ticket price from $8 to $6 for tickets that were purchased before 6 p.m. If the daily ticket sales for the two days were the same, and 100 people paid $8 for a ticket on Wednesday, how many people paid $6 for a ticket on Wednesday?

Answers

Answer:

400

Step-by-step explanation:

6x + 800 = 3200

6x = 3200 - 800

6x = 2400

    = 2400 / 6

x   = 400

Hope this answer helps you :)

Have a great day

Mark brainliest

The number of people who paid $6 for a ticket on Wednesday are 300.

What is subtraction?

The act or process of subtracting is a mathematical operation in which the difference between two numbers or quantities is calculated.

According to the given question.

Number of tickets sales for Wednesday = 400

Also, on Wednesday number of people who paid $8 for tickets = 100

Therefor,

The number of people or customer who paid $6 for a ticket on Wednesday = Total number of people who purchased tickets - total number of people who purchased tickets for $8

[tex]= 400 - 100\\= 300[/tex]

Hence, the number of people who paid $6 for a ticket on Wednesday are 300.

Find out more information about subtraction here:

https://brainly.com/question/13619104

#SPJ2

There are 11 shirts to select from in a store.

How many ways can 5 different shirts be selected?

PLEASE HELP

Answers

Given:

Total number of shirts to select from in a store = 11

To find:

How many ways can 5 different shirts be selected?

Solution:

Number of to select r items from n items is:

[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

Total number of ways to select 5 different shirts from 11 shirts is:

[tex]^{11}C_5=\dfrac{11!}{5!(11-5)!}[/tex]

[tex]^{11}C_5=\dfrac{11\times 10\times 9\times 8\times 7\times 6!}{5\times 4\times 3\times 2\times 1\times 6!}[/tex]

[tex]^{11}C_5=\dfrac{11\times 10\times 9\times 8\times 7}{5\times 4\times 3\times 2\times 1}[/tex]

[tex]^{11}C_5=462[/tex]

Therefore, there are 462 ways to select 5 different shirts.

5.5555 pounded to the nearest
hundredth
IS​

Answers

Answer:

5.55000

Step-by-step explanation:

i think

Answer:

5.56

Number:  

5.555

Nearest:  

Hundredths (2 decimals)

Mode: Round

=5.56

the solution set of 4x-(x+7)=2(x+3)​

Answers

Step-by-step explanation:

To Solve:-

[tex]\\ \tt{:}\leadsto 4x-(x+7)=2(x+3)[/tex]

SOLUTION:-

[tex]\\ \tt{:}\leadsto 4x-(x+7)=2(x+3)[/tex]

[tex]\\ \tt{:}\leadsto 4x-x-7=2x+6[/tex]

[tex]\\ \tt{:}\leadsto 3x-7=2x+6[/tex]

[tex]\\ \tt{:}\leadsto 3x-2x=6+7[/tex]

[tex]\\ \tt{:}\leadsto x=13[/tex]

Triangle A'B'C' is the image of ABC under a rotation about point P.

Determine the angle of rotation.

-75
-45
45
75

Answers

Answer:

its 45

Step-by-step explanation

It's right I did it on khan

A manager of a telemarketing firm is trying to increase his employees' productivity. The table shown indicates the number of months the employees have been working and the number of calls they successfully complete with customers per day.
a. Construct a scatter plot of the data.
b. Based on the shape of the scatter plot, is a linear regression appropriate? What type of correlation appears to be present?
c. W rite a function c(m) to represent the line of best fit. Then interpret the function in terms of the problem situation.
d. Compute and interpret the correlation coefficient.
e. Calculate the residuals for the data and create a residual plot of the data.
f. Based on the residual plot, is a linear model appropriate for the data? Explain your reasoning.
g. Should the manager use a linear regression equation to predict how many successful calls an employee will make if they have been employed for 36 months? Explain your reasoning.

Answers

i got it right cus im smart

Determine the value of the variable that makes the equation true.

`1=-10c`

Answers

Answer:

please the answer is-10

Find the surface area of the
regular hexagonal prism.
4 cm 12 cm
3.5 cm

Answers

Answer:

the surface of hexagonal prism is 12 cm

PLS HELP ME I BEG ANYONE!!!
i and c CAN BE SKIPPED!!!
E means explanation ALL I NEED IS the answer and the explanation :(!!!

Answers

Answer:

siri answered 6 more questions

Step-by-step explanation:

alexa answered 12 questions

siri answered 18 questions

20% of 60 = 12

30% of 60 = 18

Use your calculator to find the trigonometric ratio sin 79°

Answers

Answer:

0.982

Step-by-step explanation:

Use your calculator to find the trigonometric ratio sin 79°

Answer: 0.982

can someone please tell me what angle x is

Answers

Answer:

it's an angle X duh he he he be

In the question,
Two sides are same so their opposite angles will also be same.
So,
75+75+x =180 [ sum of angles of triangle ]
Or, 150+x = 180
Or, x= 180-150
Or, x=30

Can someone please explain Conditional probability to me

Answers

Answer:

conditional probability is probability based on logic and past events instead of your current data which you got from whichever experiment you did (that is experimental probability)

Step-by-step explanation:

find the length of the segment from A to B, round to the nearest tenth.

Answers

Answer:

Length AB = square root [5^2 + 3^2]

AB = square root [34]

AB = 5.8309518948

= 5.8 rounded

Step-by-step explanation:

Solve the equation for x:

Answers

Answer:

A.   x = 10

Step-by-step explanation:

-5x + 20 = -30

Subtract 20 from both sides

-5x = -50

Divide both sides by -5

x = 10

Answer:

A. x = 10

Step-by-step explanation:

- 5x + 20 = - 30

- 5x = - 30 - 20

- 5x = - 50

5x = 50

x = 50 / 5

x = 10

plot the point P(-6,2) and fron it draw PM and PN perpendiculars to x-axis and y-axis​

Answers

Answer:

image

Step-by-step explanation:

A cylinder with radius 6 cm and height h cm has the same volume as a sphere with radius 4.5cm
Find the value of h.
(The volume, V, of a sphere with radius r is V=4/3pie r^3)

Answers

Answer:

h = 4.22 cm

Step-by-step explanation:

Mathematically, we have the volume of a cylinder as;

V = pie * r^2 * h

We have it that the radius is 6 cm

V = pie * 6^2 * h

for the sphere, we have it that;

V = 4/3 * pie * r^3

V = 4/3 * pie * 4.5^3

We can proceed to equate both volumes;

pie * 6^2 * h = 5/3 * pie * 4.5^3

pie on both sides cancel out

6^2h = 5/3 * 4.5^3

36h = 151.875

h = 151.875/36

h = 4.22 cm

What are the solutions of the equation 12 + 15 - 79?

Answers

The answer is negative 52

How many possible passwords can you have if you can use numbers, letters, or capital letters but you must have at least one capital letter and your password needs to be exactly 5 characters long.

Answers

Answer:

628 possible passwords.

Alana listed the lowest temperatures recorded in some states
State
Lowest temperature recorded (°F)

-80 Alaska
0 Florida
12 Hawaii
-34 New Jersey
-34 North Carolina

Alana wrote inequalities to compare the temperatures.
Choose all of the correct
inequalities that Alana wrote.

A 12 > 0
B. 0> -34
C. 12<-34
D. -80 < 12
E-34 <-80

Answers

The correct inequalities that alana wrote is

B) 0> -34

D) -80< 12

what kind of triangle is shown

Answers

Answer:

right isosceles triangle.

Answer:

right scalene

Step-by-step explanation:

right angle - if one angle is 90 degree

scalene triangle- if all sides are of different lengths

PLEASE H LP ME WITH THIS AND SHE WANTS US TO SHOW WORK AND I NEED THE ANSWER AND THE WORK

Answers

ok lets convert first

1/2=0.5

Then divide

2/0.5=4

so now we multiply 50 with 4

50*4=200

The answer would be D

D, 200 miles

(3,5) and (9,10) find the slope that passes through the given points

Answers

Answer:

5/6

Step-by-step explanation:

slope = (difference in y)/(difference in x)

slope = (10 - 5)/(9 - 3) = 5/6

Answer: 5/6

Answer:

Hi! The answer to your question is [tex]m=5/6[/tex]

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

5. Find dy/dx of
of the following
the following functions
y²= 4ax

Answers

Answer:

A general rule for functions of the general form:

y = A*x^n

is:

dy/dx =  n*A*x^(n - 1)

Then, for the function:

y^2 = 4*a*x

Then we can rewrite this as:

y = (4*a*x)^(1/2) = √(4*a)*x^(1/2)

Then we have:

A = √(4*a)

n = 1/2

Now we can use the above rule to get

dy/dx = (1/2)*√(4*a)*x^(1/2 - 1)

dy/dx = (1/2)*√(4*a)*x^(-1/2)

dy/dx = (1/2)*√(4*a/x)

dy/dx = √(1/4)*√(4*a/x)

dy/dx = √( (1/4)*4*a/x)

dy/dx = √(a/x)

I need this answered

Answers

Answer:

a please would be nice

It should be C if not then not good enough information

Need help fast what are values of x and y

Answers

Answer:

y = 52

x = 5

Step-by-step explanation:

14 x + y = 122

y = 52

x = 5

The following are the temperatures of 10 days in winter in °C. 5, 4, 4, -1, 4, 10, 9, 8, 6, 4 Work out the mean temperature.

Answers

Answer:

Answer is 5 °C.

Step-by-step explanation:

5 is answer

Answer:

The mean temperature is 5.3 degree Celsius

Step-by-step explanation:

5+4+4-1+4+10+9+8+6+4

= 53

So,

53/10

= 5.3

mark me brainliest plss :))

Solve the following inequality.
- 1/2p<-16
Which graph shows the correct solution?
+
27 28 29 30 31 32 33 34 35 36 37
27 28 29 30 31 32 33 34 35 36 37
3 4 5 6 7 8 9 10 11 12 13
3 4 5 6 7 8 9 10 11 12 13 PLEASE HELP

Answers

Answer:

p<32

Step-by-step explanation:

[tex] \rm \rightharpoonup \: \frac{ - 1}{2}p < - 16 \\ \rm \rightharpoonup \: p < - 16 \times - 2 \\ \rm \rightharpoonup \: p < 32[/tex]

Answer:

A is the answer got it right on quiz

Anyone know how to do this

Answers

Answer:

c or a

Step-by-step explanation:

Answer:

A(-3,-1)-----A'(-1,2)

B(2,1)------B'(4,4)

here

x is increased by -1--3=2

and

y is increased by2--1= 3

so

A.(x',y')=(x+2,y+3)

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