The formula for finding the volume of a cylinder
The formula for finding the volume of a cylinder –How to calculate the volume of a cylindrical shape? On this occasion About the knowledge.co.id will discuss it and of course other things that also cover it. Let's look at the discussion together in the article below to better understand it.
The formula for finding the volume of a cylinder
A cylinder is a 3-dimensional geometric shape formed by 2 parallel identical circles and a rectangle that surrounds the two circles
In mathematics there are several geometric shapes, one of which is a tube. A tube is a geometric shape bounded by two congruent and parallel sides in the form of a circle and a curved side.
Tube properties
- It has 2 circular sides and 1 side
- curved plane (tube blanket)
- Has 2 curved ribs
- Has no corner points
And if you want to see an example of a tube like this, here's an example:
Then from the tube image example above we can see together, if we look closely we will see the elements – elements of the tube but, for those of you who don't understand it, you don't need to worry because there is an explanation below :
Tube Elements
-
Side
The definition of a side is a side that is a circle with its center in the middle, and the top side is a side that is a circle whose center is the same in the middle.
- Tube blanket
The definition of a tube blanket is a curved side that is on the left and right of the tube.
- Diameter
The definition of diameter is the distance from point A to point B
- Fingers
The definition of radius is half the distance from point A to point B
Cylinder Volume Formula
Then there are also types of formula in the tube, including:
- The formula for area of base = area of circle = π x r2
- The formula for the volume of a cylinder = π x r2 xt
- The formula for the circumference of the cylinder base = 2 x π x r
- The blanket area formula = 2 x π x r x t
- The formula for the surface area of a cylinder = 2 x the area of the base + the area of the cylinder cover
- Cone + tube = formula.
- volume = ( π x r2 x t) + ( 1/3 x π x r2 x t )
- area = (π x r2 ) + ( 2 x π x r x t ) + ( π x r x s )
- Tube formula + 1/2 ball =
- Volume = π x r2 x t + 2/3 x π x r3
- Area = ( π x r2 ) + ( 2 x π x r x t ) + ( 1/2 x 4 x π x r2 ) = (3 x π x r2) + (2 x π x r x t)
- Tube + ball = formula.
- Volume =(π x r2 x h) + (4/3 x π x r3)
- Area =(2 x π x r2) + (4 x π x r2) = 6 x π x r2
Information :
- V = cylinder volume (cm3)
- π =phi (22/7 or 3.14)
- r = radius - radius / half diameter (cm)
- t =height (cm)
Problems example :
Problem 1
A cylinder has a height of 25 cm and a radius of 14 cm, what is the surface area of the cylinder?
- Discussion :
The height of the cylinder is 25 cm and the radius of the base is 14 cm
Surface area of tube = 2πr (r+t)
Question 2
A cylinder has a radius and height of 10 cm and 30 cm respectively, then what is the volume of the cylinder?
Answer =
Is known :
r = 10 cm
t = 30 cm ask:
volume of the tube? volume = π x r2 xt
= 3.14 x 10 cm x 10 cm x 30 cm
= 942 cm3So, the volume of the cylinder is 942 cm3
A cylinder has a radius of 14 cm and a height of 10 cm, what is its area?
Answer =
is known :
r = 14 cm
t = 10 cm
asked = wide?
area =2 x π x r (r+t)
Problem 3
Find the height of a cylinder that has a radius of 5 cm and a surface area of 314 cm²
Is known:
r = 5 cm
L = 314 cm²
Asked:
Tube height(t)
Completion:
So, the height of the cylinder is 5 cm.
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