Question

A coil is wrapped on a 2 1/8 in. diameter cylinder that is 3 in . long. What is the lateral area of the cylinder around which the wire is wrapped ?

1. The lateral area otherwise termed the curved surface area of the cylinder around which the coil was wrapped is; 20.02in².

### What is the lateral area of the cylinder around which the coil was wrapped according to the task content?

It follows from the task content that the cylinder around which the coil was wrapped is 3 in. long while it’s diameter is; 2 1/8.
Hence, it follows that the diameter of the cylinder is; 17/8 inches and hence, the radius of the cylinder is; 17/16.
On this note, the lateral area of the cylinder is;
= 2(3.14)(17/16)(3)
= 20.02 in².
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