4. Formulas


Absolute Temperature K = 273 + C or C = K – 273 K = Kelvins C = Degrees Celsius


Example 5:


Convert 20ºC to Kelvin K = 273 + 20 = 293K


Simple Interest


I PR T 100


= ××


or or orT T ×


P 100 I TR


= × R


= PT ×


100 × I = Simple Interest, P = Principal, R = Rate, T = Time Example 6:


How much interest will €400 make in 2 years at a rate of 3% p.a.?


I = ×× = 400 3 2


100


Compound Interest AP r=+ ⎟


⎛ ⎝


⎜1 1 100


⎞ ⎠


n €24 I


= PR ×


100 × I


A = Amount (Principal + Interest), P = Principal, r = Rate, n = Time Example 7:


How much will a principal of €1,000 amount to after 5 years at 4%?


A ,1 000 1 4 ⎝


=+ ⎛


⎜


Volume of a Cylinder V = πr2


100⎟ = €1,216·65


⎞ ⎠


5


hor or r = V


h = V πr


2


πh V = volume of cylinder, r = radius, h = height Example 8:


Find the radius of a cylindrical glass if its volume is 0·5 litres and its height is 30 cm (0·5l = 500 cm3


).


r== 500


30π 2·3 cm


51


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