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
(100 pts.)
ICE Princess25 [194]

Answer:

1260 is the correct answer

remember multiply them :)

Step-by-step explanation:

7 0
3 years ago
Which of the following equations is true
lukranit [14]
Its the last one because 10 times 1 is 10 and 0 plus 10 still gives you 10
6 0
2 years ago
Read 2 more answers
Which equation below does NOT represent a function of X A) x=y^2 B) y=x C) y = |x| D) y=x^2 E) y=1
vlabodo [156]

Answer:

A) x = y^{2}

Step-by-step explanation:

An equation is a function of x when x is the independent variable, that is:

y = f(x) (1)

Where y is the dependent variable.

According to this, x = y^{2} does not represent a function of x, since the independent variable is a function of y, that is, x = f(y). Therefore, the correct answer is A.

5 0
3 years ago
Help me examine this stem and leaf plot!
yarga [219]
Here is your answer.

6 0
2 years ago
You are rearranging your bookshelf to make it more interesting and harder to find anything on it. On one of the shelves you plan
Leto [7]

Answer:

for every 2 biographies you put 1 mystery book until you get to the middle then there will be 3

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • Write the fraction or mixed number as a decimal. Use a bar to show a repeating decimal. 3/8
    5·1 answer
  • If the roots of a quadratic equation are 1±√5, then the product of the roots is
    9·2 answers
  • Divide £24.50 in the ratio 3:4
    5·1 answer
  • Solve for x <br> -2.3(r - 1.2 ) = -9.66 <br> enter you answer as decimal.
    8·1 answer
  • Check all the ordered pairs that satisfy the equation below. Y=6x
    12·1 answer
  • Rapid Rental Car charges a $40 rental fee, $15 for gas, and $0.25 per mile driven. For the same car, Capital Cars charges $45 fo
    7·1 answer
  • Mosab plans a trip to visit his grandparents. The online directions show four possible routes. He wants to get there as quickly
    10·1 answer
  • Evaluate 20 + 6x when x = 0.
    11·2 answers
  • Please solve!!!!thanks
    8·2 answers
  • Solve the following using pemdas 3 x 9 + 7
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!