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Math Formulas | Cylinder

Smart Math Formula, A cylinder is a solid bounded by a cylindrical surface and two parallel planes. 

Volume of Cylinder = πr²h
Curved Surface Area of Cylinder = 2πrh
Total Surface Area of Cylinder = 2πr [ h + r ]

Note :
        r = radius, h = height


Example

Question : Find the volume, curved surface and total surface area of a cylinder with the given radius 3 and height 4.

 Answer : Find the volume.
            Volume = πr²h = 3.14 . 3² . 4 = 3.14 . 9 . 4 = 113.04 .
 
Answer : Find the curved surface area.
             = 2πrh = 2 x 3.14 x 3 x 4 = 75.36.
 
Answer : Find the total surface area.
             = 2πr [h + r] = 2 . 3.14 . 3[4 + 3] = 6.28 x 3[7] = 6.28 x 21 = 131.88.
That is example will clearly illustrates how to calculate the Volume, Curved Surface and Total Surface Area of a Cylinder manually, this Smart Math Formula Cylinder.



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Math Formulas | Rectangular box (Beams)

Smart Formula Math  Rectangular box (Beams) is Cube and the beam is not really much different. If the cube all the sides the same length of the beam are not all the same length. 

Volume = l x w x h [in fact equal to the cube, it's just that the cube has all the ribs of the same length].
Beam Surface Area = 2 . {[l . w]+[l . h]+[w . h)]
Roving Beams = 4 . [l + w + h]
The roots of the diagonal spaces = [ l squared + w squared + h squared ]


Note :
length = l , width = w , height = h

Example

Question :
Find the Volume and  Surface Area beam below if length =4,width =3, high= 5

Answer :
Volume Of beams = l x w x h = 4 x 3 x 5 = 60

Beam Surface Area = 2 x {(l x w) + (l x h) + (w x h)}
2 x {(4 x 3) + (4 x 5) + (3 x 5)} = 2 x ( 12 + 20 + 15 ) = 94

That is example find the volume and area of beams which was submitted by the smart math basic formula.



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