Respuesta :
Answer:
The area of the wall that she will paint in two rolls is 219.8 inches².
Step-by-step explanation:
Given:
Jenny uses a roller to paint a wall. The roller has a radius of 1.75 inches and a height of 10 inches.
Now, to find the area of the wall that she will paint in two rolls.
So, we find the lateral surface area of roller.
Radius (r) = 1.75 inches.
Height (h) = 10 inches.
So, to get the lateral surface area we put formula:
[tex]A_{L} =2\pi rh[/tex]
[tex]A_L=2\times 3.14\times 1.75\times 10[/tex]
[tex]A_L=109.9\ inches^2.[/tex]
Thus, the lateral surface area of the roller = 109.9 inches².
Now, to get the area of wall that she will paint in two rolls we multiply 2 by the lateral surface area of the roller:
[tex]109.9\times 2\\\\=219.8\ inches^2.[/tex]
Therefore, the area of the wall that she will paint in two rolls is 219.8 inches².
Answer:
Therefore,
The area of the wall that Jenny painted is 219.8 inches².
Step-by-step explanation:
Given:
Jenny uses a roller to paint a wall ,
Radius of roller = r = 1.75 inches
Height of roller = h = 10 inches
To Find:
Area of wall painted in two rolls = ?
Solution:
First we will calculate Circumference of the roller,
[tex]Circumference=2\pi r[/tex]
Substituting the values we get
[tex]Circumference=2\times 3.14\times 1.75=10.99\ inches[/tex]
One Roll of roller is the one full rotation of the roller and one full rotation length, is the circumference length.
[tex]Circumference=one\ roll[/tex]
For two roll
[tex]Two\ roll=Twice\ Circumference[/tex]
Substituting the values we get
[tex]Two\ roll=2\times 10.99 =21.98\ inches[/tex]
Now,
Height of roller = h = 10 inches
Two Roll cover distance = 21.98 inches
Painted Area will be of Rectangular shape of Dimensions 21.98 inches by 10 inches.
Let Length = 21.98 inches, Width = height = 10 inches
[tex]Area\ of\ Rectangle = Length\times Width[/tex]
Substituting the values we get
[tex]\textrm{Painted Area for two Rolls} = 21.98\times 10 =219.8\ inches^{2}[/tex]
Therefore,
The area of the wall that Jenny painted is 219.8 inches².
