Answer: You need to buy about 10 cans of paint.
Step-by-step explanation:
Given : Diameter of round swimming pool = 59 ft
Radius = half of diameter
= [tex]\dfrac{59}{2}[/tex] ft
Area of circle = [tex]\pi r^2[/tex] , where r= radius
Area of bottom of pool = [tex]\dfrac{22}{7}\times\dfrac{59}{2}\times\dfrac{59}{2}[/tex]
[tex]=\dfrac{38291}{14}\ ft^2[/tex]
Each can of paint cover 300 ft².
So , Number of cans required to cover 1 ft² = [tex]\dfrac1{300}[/tex]
Number of cans required to cover[tex]\dfrac{38291}{14}\ ft^2[/tex] = [tex]\dfrac{38291}{14}\times\dfrac{1}{300}=9.1169047619\approx10[/tex]
Hence, you need to buy about 10 cans of paint.