Billboards

An advertising panel has the shape of a cylinder. The circumference of the base is 10 m, the height of the cylinder is 4 m.
a) How many CZK per year will we pay to rent the lateral surface of the cylinder, if 1 m² of advertising space costs 1,500 CZK per month?
b) How many posters measuring 60 cm × 80 cm can be glued onto the lateral surface at most, if we glue all of them in portrait orientation?
c) What percentage of the advertising space will remain unused?

Final Answer:

a =  720000 Kc
b =  80

Step-by-step explanation:

$$\begin{gathered} o=10 \\ v=4 \\ r=o/(2\pi )=10/(2\cdot 3.1416)\doteq 1.5915 \\ S=o\cdot v=10\cdot 4=40 \\ a=1500\cdot 12\cdot S=1500\cdot 12\cdot 40=720000\text{Kc} \end{gathered}$$

$$\begin{gathered} n_1=\lfloor o/0.60\rfloor =\lfloor 10/0.60\rfloor =16 \\ {n}_2=\lfloor v/0.80\rfloor =\lfloor 4/0.80\rfloor =5 \\ b=n_1\cdot n_2=16\cdot 5=80 \end{gathered}$$

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