Respuesta :
Answer:
2
Step-by-step explanation:
the area of the radius 30 is 2827 and since 1 bucket can cover 1800 we will only need 2 buckets because we need a total of 2827 and 1 bucket covers 1800 so 2 buckets will cover 3600.
The smallest number of 5-gallon cans the painter must buy to cover the bottom of the pool is 2 and this can be determined by using the unitary method.
Given :
- A painter needs to paint the bottom of a circular pool.
- The pool has a radius of 30 feet. A store sells 5-gallon cans of paint.
- A store sells 5-gallon cans of paint. One gallon of paint covers 300 square feet.
First, find the value of the area of the bottom of the pool. And it can be determined by using the below formula:
[tex]\rm Area = \pi r^2[/tex]
Area = 2827.43 square feet
Now, if one gallon of paint covers 300 square feet then 2837.43 square feet area covers by:
[tex]=\dfrac{2827.44}{300}\times 1[/tex]
= 9.43 gallons of paint
So, to cover the whole bottom area of the pool with paint then the amount of paint required is 9.43 gallons.
Now, if one can contain 5 gallons of paint then 9.43 gallons of paint is contained by :
[tex]=\dfrac{9.43}{5}[/tex]
= 1.886 [tex]\approx[/tex] 2
The smallest number of 5-gallon cans the painter must buy to cover the bottom of the pool is 2.
For more information, refer to the link given below:
https://brainly.com/question/23368125
