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a paint roller shaped like a cylinder has a radius of 4 cm and a length of 21 cm. You roll vertically on a wall What is the length and width of the wet area after 10 complete rolls What area does the paint cover?paint costs $43.84 per can and a can cover 16 m². How much would it cost to paint a bedroom that has a surface area of 33 m²

User AzizSM
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1 Answer

4 votes

Given:

A paint roller shaped like a cylinder has a radius of 4 cm and a length of 21 cm.

So, radius = r = 4 cm

and the height of the cylinder = h = 21 cm

What is the length and width of the wet area after 10 complete rolls?

First, we will find the length and the width of one complete roll

Width = h = 21 cm

Length = Perimeter of the circle = 2πr = 2 * 3.14 * 4 = 25.12 cm

After 10 complete rolls, you roll vertically on a wall

So, Length = 10 * 25.12 = 251.2 cm

Width = 21 cm

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What area does the paint cover?

Area = Length x Width = 251.2 x 21 = 5,275.2 cm²

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Paint costs $43.84 per can and a can cover 16 m²

How much would it cost to paint a bedroom that has a surface area of 33 m²?

First, we will find the number of cans required to cover the area?

So, the number of cans = 33/16 = 2.0625

So, it is required 3 cans

So, the cost of cans = 3 x $43.84 = $131.52

So, the answer will be the cost = $131.52

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User DarwinLouis
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