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?

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:

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:

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

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,

Substituting the values we get

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

For two roll

Substituting the values we get

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

Substituting the values we get

Therefore,

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

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