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
ddd [48]
3 years ago
10

A frustum is made by removing a small cone from a similar large cone. Work out the volume of the frustum, below. Give your answe

r in terms of pie

Mathematics
1 answer:
AlekseyPX3 years ago
3 0

Answer:

Step-by-step explanation:

volume of cone=1/3 πr²h

volume of frustum=vol of larger cone-vol of smaller cone=1/3πR²H-1/3πr²h

=1/3π(R²H-r²h)

=1/3π(4.5²×9-3²×6)

=1/3π×9×3(4.5×1.5-2)

=9π(6.75-2)

=9π×4.75

=42.75π cm³

You might be interested in
To solve a system of inequalities ayana isolated y in the first equation and then substituted for y in the second equation. what
vitfil [10]

Answer:

(- 3, - 6 ) , (1, 2 )

Step-by-step explanation:

2y = 4x ( divide both sides by 2 )

y = 2x → (1)

x² + y = 3 → (2)

Substitute y = 2x into (2)

x² + 2x = 3 ( subtract 3 from both sides )

x² + 2x - 3 = 0 ← in standard form

(x + 3)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 1 = 0 ⇒ x = 1

Substitute theses values into (2) for corresponding values of y

x = - 3 : y = 2(- 3) = - 6 ⇒ (- 3, - 6 )

x = 1 : y = 2(1) = 2 ⇒ (1, 2 )

8 0
2 years ago
Solve the system of equations : y = x/2 , y = -x - 3 . You can use any method you wish for solving systems of equations. Check y
lorasvet [3.4K]

Answer:

x=−2 and y=−1

Step-by-step explanation:

<u>Problem:</u>

Solve y=x2;y=−x−3

<u>Steps:</u>

I will solve your system by substitution.

y=1/2x;y=−x−3

Step: Solve y= 1/2x for y:

Step: Substitute 1/2 x for y in y=−x−3:

y=−x−3

1/2x= =−x−3

1/2x+x=−x−3+x(Add x to both sides)

3/2x = -3

3/2x/3/2 = -3/3/2 (Divide both sides by 3/2)

x=−2

Step: Substitute −2 for x in y=1/2x:

y=1/2x

y=1/2(-2)

y=−1(Simplify both sides of the equation)

<u>Answer:</u>

x=−2 and y=−1

5 0
2 years ago
A target has a bull’s-eye with a diameter of 2 inches. The outer ring is 1 inch wide. What is the area of the outer ring? A circ
Arturiano [62]

Answer:

<h2>it is option 2      3 Pi inches squared</h2>

Step-by-step explanation:

good job :)

7 0
3 years ago
Read 2 more answers
If two lines never intersect when graphed. Which of the following best describe the number of solution to this system of linear
serg [7]

Think of when If you cross two lines you get a point where they meet

A point is a solution.

So if the lines never cross, then they would have no point, or A, No Solution

3 0
3 years ago
What is the product 4n/4n-4 n-1/n+1
olga_2 [115]
4n/4n-4 × n-1/n+1
= 4n(n-1)/(4n-4)(n+1)
= (4n^2 - 4n)/(4n^2 + 4n - 4n-4)
= (4n^2 - 4n)/(4n^2 - 4)
= 4(n^2 - n)/4(n^2 - 1)
=(n^2 - n)/(n^2 - 1)
5 0
3 years ago
Other questions:
  • A Lights-A-Lot quality inspector examines a sample of 30 strings of lights and finds that 8 are defective.
    5·1 answer
  • In triangle TOY, all the angles are congruent. What is the measure of an exterior angle adjacent to angle T? *
    13·1 answer
  • What are mind jigglers
    12·1 answer
  • Nellie is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?
    10·1 answer
  • I need help on my math hw. Due tomorrow!
    9·1 answer
  • :) answer please! &lt;3
    11·2 answers
  • Write the converse.
    8·1 answer
  • Can you please elaborate on this question? I'm unable to visualize what has been told.
    7·1 answer
  • Which expression is equivalent to 1/36?
    7·1 answer
  • F(x)=ax+b/2 then f^-1 (x-1) =2x-5/2 find a and b​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!