Question

Laura is completing a craft project that involves covering only the lateral surface of a cylindrical container with fabric. The cylinder has a height of 9.7 in. and a radius of 10.8 in. To the nearest square unit, how much fabric does she need for this project? Use a calculator.

Answer 1

Lateral surface is the Area of sides only. The top and the bottom are not included.

So the Total Surface Area of a Cylinder is given by the formula:

\[(2\times \pi \times r ^{2}) +( 2 \times \pi \times r \times h)\]

now the \[2 \times \pi \times r ^{2}\] is the Area of the top and the bottom.

So Lateral Surface area is just \[2 \times \pi \times r \times h\]

Just plug in the values for r and h given to you and find your answer.