1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kolbaska11 [484]
3 years ago
10

A sector of angle 125° is revomed from a thin circular sheet of radius 18cm. it is then folded with straight edges coinciding to

form a right circular cone. what are the steps you would use to calculate the base radius, the semi- vertical, and the volume of the cone?​
Mathematics
1 answer:
stira [4]3 years ago
5 0

Answer:

Volume of the cone is 1883.7 cm³

Step-by-step explanation:

The circumference of the full circle with radius 18 cm :

360 := 2*π*18 = 36π cm

125 := 125/360 * 36π

The new circumference is maller:

36π - 125/360 * 36π

36π * 0.652(7)

Calculate the new r based on the new circomference:

2*π * r = 36π * 0.652(7)

r = 36π/2π * 0.652(7)

r = 18 * 0.652(7)

r = 11.75 cm

Based on this radius you can calculate the area of the base of the cone.

area base = π*(11.75)²

The Volume V of this cone = 1/3 π r² * h

You can calculate the height h by using Pythagoras theorum.

The sector is the hypothenusa= 18 cm

The h is the height, which is the "unknown"

The r is the new radius = 11.75 cm

s² = r² + h²

h² = s² - r²

h = √(s² - r²)

h = √(18² - 11.75²)

h = 13.6358901432946 cm

h = 13.636 cm

V cone

V = 1/3 π 11.75² * h

V = 1/3 π 11.75² * √(18² - 11.75²)

V = 1/3 π 11.75² * 13.636

V = 1883.7 cm³

You might be interested in
Karen is 6 yrs older than her sister Michelle and Michelle is two years younger than their brother David If the sum of their age
frosja888 [35]
You are told the ages of Karen and David in terms of Michelle's age.
Let m = Michelle's age.

Michelle's age = m
Karen's age = m + 6

Michelle is two years younger than David, so David is two years older than Michelle.

David's age = m + 2

Add the ages and get 62.

m + m + 6 + m + 2 = 62

3m + 8 = 62

3m = 54

m = 18

Michelle is 18 years old

Karen is 6 years older, so she is 24 years old.

David is 2 years older than Michelle, so he is 20 years old.
4 0
3 years ago
The gym has a total of 25 treadmills and stationary bikes. there are seven more stationary bikes than treadmills.
Rudik [331]

The system of equations is t+b=25\\b=t+7

Step-by-step explanation:

We can answer this question as follows.

First of all, we call:

t = number of treadmills

b = number of stationary bikes

The two conditions that we have can be translated into equations as follows:

- The gym has a total of 25 treadmills and stationary bikes:

t+b=25

- There are seven more stationary bikes than treadmills:

b=t+7

So the system of equations to solve is

t+b=25\\b=t+7

We now solve it in the following way: first, we rewrite the second equation by bringing t on the left side,

t+b=25\\b-t=7

Now we add the 1st equation to the 2nd equation:

(t+b)+(b-t)=25+7\\t+b+b-t=32\\2b=32\\b=\frac{32}{2}=16

And therefore,

t+b=25\\t+16=25\\t=25-16=9

So, there are 16 stationary bikes and 9 treadmills.

Learn more about systems of equations:

brainly.com/question/13168205

brainly.com/question/3739260

#LearnwithBrainly

3 0
3 years ago
The number 4 is in both the domain and the range of the function A(n).
Pani-rosa [81]

Answer:

False

Step-by-step explanation:

the domain is the set of numbers you can plug in, and the range is what comes out

4 is shown in both ovals, but we see that there is no arrow pointing from the left oval to the 4 in the right oval, meaning that no value in interval [1,5] has a value of 4.

3 0
3 years ago
Solution the the system of equations 2x+4y=-8 and -2x+3y=29
Zina [86]
The answer to this is y=3 and x=-10.
5 0
3 years ago
Sasha ordered a set of green and blue pins. She received 20 pins in all. 10 of the pins were green. What percentage of the pins
arlik [135]

Answer:

50%

Step-by-step explanation:

10 of the pins were green

there are 20 pins in total

10/20 of the fries are green

10/20=1/2=50/100

50/100=50%

5 0
3 years ago
Other questions:
  • I have another Brainliest
    10·1 answer
  • A pair of shoes usually sells for $70. If the shoes are 30% off, and sales tax is 5%, what is the total price of the shoes, incl
    15·2 answers
  • How many mph are you going when it takes 52 minutes to fly 196 miles
    6·1 answer
  • Angle A and angle B are supplementary.The measure of angle B is 15∘ less than the measure of angle A.What is the measure of angl
    5·1 answer
  • The cylinder shown has a lateral surface area of about 60 square inches. Which answer is closest to the height of the cylinder?
    13·2 answers
  • -56 divided by -8 find the quotient
    10·2 answers
  • Fred earned $22.50 in nine hours. how much did he earn after 4 hours? please show all your work
    8·2 answers
  • Please help with this question. Quick! 20 points!
    5·1 answer
  • Solve for x(one solution,no solution,or infinite solutions) -2(3x+-1)=-6x-1
    6·2 answers
  • What is a name for the marked angle?<br> Picture given
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!