1) A cylinder has a radius of 16 cm and height cm. A cone has a radius of 24 cm. The cone is 3 cm taller in height than the cylinder.

(a) Express the height ( H )of the cone in terms of .

(b) If both, the cylinder and the cone have the same volume, find the height of the cylinder.

2) The formula that shows the relationship between the Fahrenheit scale and the Celsius scale is given below

equation 1

\fIf the temperature in Fahrenheit is F = 122, what is that temperature in Celsius?The boiling point for water in Celsius is 100. What is the boiling point for water in Fahrenheit?c) Equilibrium is defined as the price at which quantity supplied equals quantity demanded. Let the demand function be given as P = 160 -40,, and a supply function as P = 30 + 9QsIn equilibrium, Qs = Qp; there is one unique price at which this occurs. i) Find the equilibrium quantity . ii) Find the price at which the equilibrium occurs