Question

a gallon of paint can cover 25 square feet. If a circular swimming pool has a radius of 5 feet, what is the minimum number of gallons of paint that is needed to paint the entire floor of the pool?

Answer 1

3.1416 gallons of paint.

Explanation:

Area of floor of the pool:

= π r^2

= π * 5^2

= 25π ft^2.

Number of gallons required

= 25π/25

= 3.1416 gallons.

Answer 2

3.141592 gallons.

You could also say thay you need pi number of gallons, since 3.141592 is an approximate value of pi.

Explanation:

First of all, let's find the area of the pool. For that, we are going to use the formula of area for a circle, since the problem explicitly states that the shape of the swimming pool is circular.

Finding the area:

`A=\pi r^(2)=\pi (5')^(2)= 78.5398 square feet.`

Now that we have the area of the pool, lets answer the problem's main question, which asks for the minimum number of gallons of paint that is needed to paint the entire floor of the pool. For this, we just have to make a simple rule of 3 as the following:

25 square feet -------------- 1 gallon

78.5398 square feet ----- x

x= (78.5398*1)/25= 3.141592 gallons.