Question

4 1 point Given the scale factor of 4.99 for a cylinder, what would Type your answer... 1 5 1 point Given the area factor of 33.40 for a cylinder, what would Type your answer...

Answer 1

Let's begin by listing out the given information:

scale factor = 4.99

This means that the shape was enlarged by 4.99 to obtain a new shape

`ScaleFactor=(New)/(Old)=4.99`

The formula for the area of a cylinder is given by:

`\begin{gathered} A=2\pi rl \\ r\rightarrow4.99r \\ l\rightarrow4.99l \\ \Rightarrow A_(new)=2\pi\cdot4.99r\cdot4.99l \\ A_(new)\colon A\Rightarrow2\pi\cdot4.99r\cdot4.99l\colon2\pi rl \\ \Rightarrow AreaFactor=4.99\cdot4.99=24.9001\approx24.90 \\ AreaFactor=24.90 \end{gathered}`

Area factor = 24.90 (2 decimal places)