A paint roller is cylindrical in shape. It has a diameter of $6.8$6.8cm and a width of $31.2$31.2cm. Find the area painted by the roller when it makes one revolution, correct to the nearest $0.01$0.01 cm².

Medium

2min

Outcomes

M3.N.Q.A.1.A

Choose and interpret the scale and the origin in graphs and data displays.

M3.N.Q.A.1.B

Use appropriate quantities in formulas, converting units as necessary.

M3.N.Q.A.1.C

Define and justify appropriate quantities within a context for the purpose of modeling.

M3.G.MG.A.1

Use geometric shapes, their measures, and their properties to model objects found in a real-world context for the purpose of approximating solutions to problems.*

M3.MP1

Make sense of problems and persevere in solving them.

M3.MP2

Reason abstractly and quantitatively.

M3.MP3

Construct viable arguments and critique the reasoning of others.

M3.MP4

Model with mathematics.

M3.MP5

Use appropriate tools strategically.

M3.MP6

Attend to precision.

M3.MP7

Look for and make use of structure.

M3.MP8

Look for and express regularity in repeated reasoning.

5.06 Modeling with 3D figures

Interactive practice questions