A round swimming pool has a diameter of 59 ft, you want to paint the bottom of the pool. If each can of paint can cover 300 ft^2. How many cans do you need to buy?

Respuesta :

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.

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