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
azamat
3 years ago
14

How do you find a volume of a cone?

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
4 0

Answer:

  V = (1/3)πr²h

Step-by-step explanation:

The volume of a cone is 1/3 the volume of a cylinder with the same radius and height.

  Cylinder Volume = πr²h

  Cone Volume = (1/3)πr²h

where r is the radius (of the base), and h is the height perpendicular to the circular base.

_____

<em>Comment on area and volume in general</em>

You will note the presence of the factor πr² in these formulas. This is the area of the circular base of the object. That is, the volume is the product of the area of the base and the height. In general terms, ...

  V = Bh . . . . . for an object with congruent parallel "bases"

  V = (1/3)Bh . . . . . for a pointed object with base area B.

This is the case for any cylinder or prism, even if the parallel bases are not aligned with each other. (That is, it works for oblique prisms, too.)

Note that the cone, a pointed version of a cylinder, has 1/3 the volume. This is true also of any pointed objects in which the horizontal dimensions are proportional to the vertical dimensions*. (That is, this formula (1/3Bh), works for any right- or oblique pyramid-like object.)

__

* in this discussion, we have assumed the base is in a horizontal plane, and the height is measured vertically from that plane. Of course, any orientation is possible.

You might be interested in
The Hoover Dam generates an average of about 11,506,000 kilowatt-hours of electricity per day.
OLEGan [10]

Answer:

161,084,000

Step-by-step explanation:

7 x 11,506,000 = 80,542,000

80,542,000 x 2 = 161,084,000

6 0
3 years ago
What is the proper way to check an algebraic solution?
vlabodo [156]
The correct way is to plug in the answer back into the equation and see if it results in the correct solution.
4 0
3 years ago
Read 2 more answers
None of my answers work on this? Either somethings not right or what..
Pavel [41]
Answer is below this comment :D

8 0
2 years ago
A=1/2bh for b<img src="https://tex.z-dn.net/?f=a%3D1%2F2bh%20for%20b" id="TexFormula1" title="a=1/2bh for b" alt="a=1/2bh for b"
valkas [14]
Times both sides by 2
2A=bh
divide both sides b h
\frac{2A}{h}=b
b=\frac{2A}{h}
5 0
3 years ago
Similar to changes in elevation, temperature changes are often expressed as sums and differences of positive and negative ration
Sergio [31]

Answer:

39°F

Step-by-step explanation:

yeah thats is JDJDJDJDNSMS

5 0
3 years ago
Read 2 more answers
Other questions:
  • Jordan paid $11.20 for 5 pears and 6 peaches.The cost of 3 prears is as much as 2 peaches. Find the cost of a pear and a peach.
    6·1 answer
  • From a window 20 feet above the ground, the angle of elevation to the top of a building across
    12·1 answer
  • 10+8 divided by 4x20​
    13·2 answers
  • Classify the relation according to whether or not they are function
    13·1 answer
  • Please help i need it
    15·1 answer
  • ASAP HELPP PLEASE ?
    7·2 answers
  • A population has a mean and a standard deviation . Find the mean and standard deviation of a sampling distribution of sample mea
    12·1 answer
  • Can you help me on unmber 2 or 3 Plzz show work
    9·1 answer
  • Just need a little help thanks
    11·1 answer
  • Kim's softball team was playing in the championship game. When there were 444 innings left, the team was losing by a score of 17
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!