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Video Tutorial "Finding the height of a cylinder"
Questions answered in this video...
How do you find the height of a cylinder?
What is the formula for finding the volume of a cylinder?
If a cylinder has a volume of 288π units and a radius of 6 units,what is the cylinder's height?
Volume of a Cylinder Calculator
A cylinder is a three dimensional shape with two circular bases that are parallel
The volume of a cylinder is found by multiplying the area of one base by its height.
Volume of a Cylinder
Volume of a Cylinder
Hi Welcome to MooMooMath. Today we are going to look at finding the volume of a cylinder. I have two different types of cylinders. We have a standard cylinder, and the definition of a cylinder is a three dimensional figure where you have two circular bases. We also have another one in which the bases are parallel to one another but the bases don’t stand on top of one another, they are offset. These are called an oblique cylinder, but you find the volume the same way. To find the volume it is very similar to finding the volume of a prism. You take the base area times the height. The only difference is that the base area is a circle so to find the area of a circle you use the formula for a circle which is pi r squared. So we will take pi r squared times the height of the cylinder. So let’s throw in some numbers and give ourselves a radius of 4 and a height of 3 what would be the volume. Well you just go here and plug in the formula r equals 4 and h equals 3. So it will be pi times 4 squared times 3. This equals 16 times 3.14 times 3 is 48 and we will just attach the pi to the back, and since this is volume our units will be three dimensions because we are taking length, width, and height, and we are taking radius squared which is area times height which gives us the third dimension so that will be your units (inches, centimeters) cubed. Now let’s look over the formula.
Volume = Base Area times height
The base area of a cylinder equals πr^2
My example here is if the radius is 2 and the height is three then plug 2 for r and square it which is 4 times 3 which is 12 π units cubed.12π^3 Hope this was helpful.
Parallel Circular Base
Parallel Circular Base
Find the volume of a cylinder with the following dimensions
Radius = 4
Height = 3
Step 1
Step 2
Find the volume of a cylinder with the following dimensions
Radius = 2
Height = 3
Step 1
Step 2
This step involves multiplying the radius squared times the height of the cone
16 = the radius squared
3 = the height of the cone
4 = radius squared
3 = height of the cone
This step involves multiplying the radius squared times the height of the cone
3
4
Step 3
Formula for volume of a cylinder
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Volume of a cylinder
r = radius
h = height of the cylinder
π = pi
r
h
Cylinder Volume Formula =
Finding the height of a cylinder
If a cylinder has a volume of 288π and a radius of 6 units what is the cylinders height?
Step 1.Plug your given information into the volume of a cylinder formula.
Volume = πr^2 * h
r=radius of the circular end of the cylinder
h =height of the cylinder
288π = π6^2 * height
Step 2 . 288π = π36 * height The 6^2 from step 1 becomes 36 because
6 squared =36
Step 3. Divide each side by 36π
288π/36π = π36/ π36 * height Once you divide you are left with 8
Step 4. 8 units = height of the cylinder