  Master the 7 pillars of school success                The volume of a volume is the space found inside the cone.

• Think of the volume as the amount of ice cream you can stuff inside an ice cream cone.

### Video answer "Volume of cone."

Problem 3. Find the volume of a cone with a slant height of 9 units and a diameter of 12 units.

Step 1 Find the radius by taking ½ of the diameter
½ * 12 =6 units

Step 2 Notice that the slant height is part of a right triangle. Therefore, you can use the Pythagorean Theorem to find your height.

Step 3.
• The length of the radius becomes the leg of the right triangle
• The slant height becomes the hypotenuse of the right triangle
•  a^2+ 6^2= 9^2

Step 3a a^2+ 36= 81

Step 3b a^2= 45

Step 3c  a= √(45 ) this simplifies to 3√5

Step 4 Plug height into the volume formula
1/3*πr^2*h

Step 4a  1/3*π6^2*3√5

Step 4b  36π* √5

Step 4c Volume equals 36√5 π units^3      # Volume of a Cone  Plug your given information into the volume of a cone formula

Problem 2. Find the volume of a cone with a height of 10 and a radius of 6 units.

Step 1.  Plug your numbers into the formula.
1⁄3 π6^2*10

Step 2  Simplify 1⁄3 π6^2*10

Step 2b  1⁄3 π36*10

Step 3

Step 3b 12π x 10=120π units^3  ( Please note  volume is always cubed )    Volume of a Cone
Finding the volume of a cone is very similar to a cylinder. If you have a cylinder with the same
radius and height of a cone then you could fit three cones inside the cylinder. Therefore the ratio of a cylinder to a cone is 1 to 3
Let's look at some examples covered in the video.

​5
4 ​h
r
h = height of the cone

r = radius of the cone.
Step 1.
Step 2.
The 80 equals (4 squared =16   16 x 5 =80)
Step 3.
Volume of the cone equals 26.6π units^3  ## How do you find the volume of a Cone ? ### Formula for volume of a cone equals 1/3 ( base area) ( height)  ### What is the volume of a cone with a radius of 4 and a height of 5?

Begin with the volume formula of a cone.