Question

Charlie is trying to cover the shape shown with paper. He will NOT be covering the top and the bottom. How much paper will he need? (Use 3.14 for TT) Select one: O 141.3 square meters O 423.9 square meters O 282.6 square meters O 339.12 square meters

Answer 1

You need to determine how much paper you need to cover the lateral side of the cylinder shown in the picture. For this, you have to calculate the surface area of the cylinder, which you can do using the following formula:

$A=2\pi rh$

Where

A is the area

π is the number pi, for the calculations we usually use up to the first two decimal values of this number, 3.14

r is the radius

h is the height of the cylinder

The given cylinder has a height of h=15m and a diameter of d=6m

To calculate the lateral area you need to use the radius. The diameter is twice the radius, so to determine the radius of the cylinder you have to divide the diameter by 2

$\begin{gathered} r=\frac{d}{2} \\ r=\frac{6}{2} \\ r=3 \end{gathered}$

Now you can calculate the lateral area as follows:

$\begin{gathered} A=2\pi rh \\ A=2\cdot3.14\cdot3\cdot15 \\ A=282.6m^2 \end{gathered}$

Charlie will need 282.6 m² to cover the lateral side of the cylinder.