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
DedPeter [7]
3 years ago
13

The radius of the cone is 3 in and y = 5 in. What is the volume of the cone in terms of π?

Mathematics
2 answers:
ivann1987 [24]3 years ago
8 0

Answer: The answer is A) 12π in^3

Tcecarenko [31]3 years ago
6 0

Answer:

  12π in³

Step-by-step explanation:

The right triangle formed by the radius (r), height (x), and slant height (y) is a 3-4-5 right triangle, with the dimension 4 inches being the perpendicular height from the base to the apex. That is, the Pythagorean theorem tells us ...

  r² + x² = y²

  x = √(y² -r²) = √(25 -9) = 4 . . . inches

The formula for the volume of a cone is ...

  V = (1/3)πr²h . . . . . . . . h is the height, what you call x

Your cone has r = 3 in, h = 4 in. Filling in these numbers and simplifying, we get ...

  V = (1/3)π(3 in)²(4 in) = 12π in³

The volume of the cone is 12π cubic inches.

You might be interested in
Create a 3rd degree polynomial function with one zero at three. Sketch a graph
DedPeter [7]

Answer:

f(x) =  {x}^{3}  - 9 {x}^{2}  + 27x - 27

Step-by-step explanation:

We want to create a third degree polynomial function with one zero at three.

In other words, we want to find a polynomial function with roots x=3 , multiplicity, 3.

Since x=3 is a solution, x-3 is the only factor that repeats thrice.

f(x) =  {(x - 3)}^{3}

We expand to get:

f(x) =  x( {x}^{2}  - 6x  + 9) - 3( {x}^{2}  - 6x + 9)

f(x) =  {x}^{3}  - 6 {x}^{2}  + 9x- 3 {x}^{2}   + 18x  - 27

This simplifies to:

f(x) =  {x}^{3}  - 9 {x}^{2}  + 27x - 27

See attachment for graph.

4 0
3 years ago
Pls help urgently extra points and mark brainlist
tankabanditka [31]

Answer:

(3+2)×5= 5 power 2

5 power 3= 125

10 power 2 over 2= 50

Step-by-step explanation:

6 0
3 years ago
alaska has land are about 1,700,000 sq kilometers. Florida has a land are 1/10 the size of alaska. what is the land area of Flor
zhannawk [14.2K]
170,000 square kilometers, divide by 10, or take off a 0
8 0
3 years ago
Write the integers in order from least to greatest
Charra [1.4K]
#7) -7,-2,0,3,4
#8) -9,-6,-5,1,8
8 0
3 years ago
The answer to the following q.
Katen [24]

Answer:

See below ~

Step-by-step explanation:

Given :

⇒ m∠1 = m∠2

⇒ HD = GF

=============================================================

To Prove :

<u>Δ EHD ≅ Δ EGF</u>

<u />

============================================================

Solving :

⇒ m∠1 = m∠2 (Given)

⇒ HD = GF (Given)

⇒ ∠E = ∠E (Common angle)

⇒ ΔEHD ≅ ΔEGF (AAS congruence)

3 0
1 year ago
Read 2 more answers
Other questions:
  • The volume of a cylinder is V = 1/3 πr2h. If the radius is doubled and the height is halved, what will be the ratio of the new v
    8·2 answers
  • Find the surface area of the regular triangular pyramid.
    8·1 answer
  • Evaluate the following expression when x=14. X^2+5x+11
    11·2 answers
  • the Eiffel tower in Paris is 328 feet wide at the bottom and 984 feet tall. a model of the tower is 12 inches tall. What is the
    8·1 answer
  • What is the justification for step 3 in the solution process?
    13·1 answer
  • -7 (-1-m)????????????????????
    13·1 answer
  • Someone knows what number multiplied twice by the same can give me results 130!!!! Help plis plisss
    7·2 answers
  • Are the tutors bots?
    15·2 answers
  • What is an equation of the line that passes through the points (7, 4) and ( -5, 4)?
    15·1 answer
  • Simplify -2(3x-10)=15​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!