Cylinder Formulas

Surface Area = (2 • π • r²) + (2 • π •r • height)

here (2 • π • r²) is the surface area of the "ends" and (2 • π • r • height) is the lateral area (the area of the "side").

Volume   =   π • r² • height  = ¼ • π • d² height

Sphere Formulas

Sphere Surface Area     =   4 • π • r²  =     π • d²

  Sphere Volume   =   4/3 • π • r³    =    ( π •d³)/6

Circle Formulas

Circumference   =  2 • π • radius   =   π.diameter

Circle Area   =       π • r²     =     ¼ • π • d²

slope formulas

Slope (m) = RiseRun

(Rise = change in the y co-ordinate; Run = change in the x co-ordinate)

In the above given graph, the Rise is given for the points B (4,2) and C (4,4) and the Run is given for thepoints A (2,2) and B (4,2)

Rise = change in the y - coordinate = 4-2 =2

Run = change in the x- coordinate = 4-2 =2

Using the slope formula, we get :

Slope( m ) = RiseRun = 22 =1

Slope (m) = [ (y2 - y1)/(x2 - x1)]

Density of water = MassVolume

Densities of water at various temperature scales:

Sl no	Temperature in 0C	Density in Kg/m3
1	100	958.4
2	80	971.8
3	60	983.2
4	40	992.2
5	30	995.65
6	25	997.04
7	22	997.77
8	20	998.2
9	15	999.1
10	10	999.70
11	4	998.97
12	0	999.83
13	-10	998.12
14	-20	993.547
15	-30	983.854

Fahrenheit to Celsius Conversion Problems

 Problems : 

Question 1: Convert Fahrenheit to Celsius:
(a) 0^o F
(b) 15^o F
(c) 40^o F.
Solution:

The Fahrenheit to Celsius is given by the formula
C = (F - 32) × 59

1. (a) 0^o F = (0 - 32) × 59 = - 17.78^o C
2. (b) 15^o F = (15 - 32) × 59 = -9.45^o C
3. (c) 40^o F = (40 - 32) × 59 = 4.45^o C.

Question 2: Convert the following in to Fahrenheit:
(a) 25^o C
(b) 45^o C
(c) 100^o C.
Solution:

To convert the Celsius to Fahrenheit is given by formula F = C × 95 + 32
25^oC = 25 × 95 + 32
         = 5 × 9 + 32
         = 77^o F
45^oC = 45 × 95 + 32
        = 9 × 9 + 32
        = 113^o F
100^oC = 100 × 95 + 32
          = 20 × 9 + 32
          = 212^o F.

M.E.F.A

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Temparature Conversations Formulas

The formula to convert Fahrenheit to Celsius is given by

The Formula to convert Celsius to Fahrenheit is given by

It is also known as Centigrade to Fahrenheit formula

The kelvin to Fahrenheit formula is given by