Question

Jenny uses a roller to paint a wall. The roller has a radius of 1.75 inches and a height of 10 inches. In two rolls, what is the area of the wall that she will paint?

Answer 1

Therefore,

The area of the wall that Jenny painted is 219.8 inches².

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,

`Circumference=2\pi r`

Substituting the values we get

`Circumference=2* 3.14* 1.75=10.99\ inches`

One Roll of roller is the one full rotation of the roller and one full rotation length, is the circumference length.

`Circumference=one\ roll`

For two roll

`Two\ roll=Twice\ Circumference`

Substituting the values we get

`Two\ roll=2* 10.99 =21.98\ inches`

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

`Area\ of\ Rectangle = Length* Width`

Substituting the values we get

`\textrm{Painted Area for two Rolls} = 21.98* 10 =219.8\ inches^(2)`

Therefore,

The area of the wall that Jenny painted is 219.8 inches².

Answer 2

The area of the wall that she will paint in two rolls is 219.8 inches².

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:

`A_(L) =2\pi rh`

`A_L=2* 3.14* 1.75* 10`

`A_L=109.9\ inches^2.`

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:

`109.9* 2\\\\=219.8\ inches^2.`

Therefore, the area of the wall that she will paint in two rolls is 219.8 inches².