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
ohaa [14]
2 years ago
7

Pease help me i'll give you the brainliest​

Mathematics
1 answer:
olchik [2.2K]2 years ago
7 0

Answer:

732×pi cm³

Step-by-step explanation:

we have all the data and the formula.

so, we only need to do the raw calculations.

Vc = pi×r²×h/3

r = the radius of the basic circle

h = the height.

since the volume of the frustum is the volume of the large cone minus the volume of the small cone, we need to calculate both volumes and then subtract the smaller from the larger number.

oh, and we need to calculate also the radius of the base circle of the small cone. since they are similar bodies, all lines use the same ratio or scaling factor to convert from one cone to the other.

that includes height and radius.

we know the height of the large cone is 16+4=20 cm.

and set know that the height of the small cone is 16 cm.

so, the scaling factor is 16/20 = 4/5 to go from the large to the small cone.

that means that the radius of the small cone is

15 × 4/5 / 3×4 = 12 cm

so, now to the 2 cone volumes :

the large cone

Vcl = pi×15²×20/3 = pi×225×20/3 = pi×75×20 =

= pi×1500 cm³

the small cone

Vcs = pi×12²×16/3 = pi×144×16/3 = pi×48×16 =

= pi×768 cm³

the volume of the frustum is therefore

Vf = Vcl - Vcs = 1500×pi - 768×pi = 732×pi cm³

Hope it Helps

Mark me as brainliest please

You might be interested in
If 3(x+2)=5(x-8) what is the value of x+2?<br><br>A. 23<br>B.25<br>C.40<br>D.46
lorasvet [3.4K]

3*x

3*2

3x+6

5*x

5*-8

5x-40

Story short the answer is 25

3 0
3 years ago
Read 2 more answers
Which facts could be applied to the simplified expression. Check all that apply. 5x+3y+(-x)+62
Anettt [7]

Answer:

4x+3y+62

Step-by-step explanation:

the other variables wouldnt be able to do anything to 62 because they are different variables.

7 0
3 years ago
Read 2 more answers
Find the circumference a circle with the diameter AB<br><br> A (-8,4) and B (4,-1)
Simora [160]

Answer:

<em>C = 13π ≈ 40.82 units </em>

Step-by-step explanation:

C = 2 r π = d π

AB = \sqrt{(-8-4)^2 +(4+1)^2} = 13 units

<em>C = 13π ≈ 40.82 units</em> ( π ≈ 3.14 )

7 0
2 years ago
Simplify the ratio:<br> 2 days: 2 weeks<br> [Write the answer without any units of measurement.]
Marysya12 [62]

Answer:

1:7

Step-by-step explanation:

2 days = 2, 2 weeks = 14 days

2:14

u can divide it by 2

becomes 1:7

8 0
3 years ago
Mei has 15 oranges, 9 peaches, and 18 pears. She wants to put all of the fruit into decorative baskets. Each basket must have th
son4ous [18]
15,9,8 can be divided by 3
so, the greatest number of fruit in each basket is 3
7 0
3 years ago
Other questions:
  • Plissss! I really need help​
    11·1 answer
  • Which graph represents the solution to the system of inequalities?<br> x + y ≤ 4<br><br> y – x ≥ 1
    12·1 answer
  • Can someone help me plesssss
    7·2 answers
  • Please please please help!
    12·1 answer
  • Please help w/ this question <br><br> image attached
    8·2 answers
  • Which of the following sets of ordered pairs is a function
    12·2 answers
  • Suppose that a random sample of size 64 is to be selected from a population with mean 50 and standard deviation 5. (a) What are
    11·1 answer
  • I WILL MARK BRAINLIEST
    8·2 answers
  • Mercury is a naturally occurring metal that can be harmful to humans. The current recommendation is for humans to take in no mor
    9·1 answer
  • The system equations 2y=14-2x and y=-x+7
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!