Answer to Question #148931 in Geometry for solid mensuration

Question

7. Determine the lateral area of a cylinder of height 300mm and base radius of 100mm.

Answer 1

Consider a right circular cylinder with radius of base $r$ and height $h$

The lateral area of the cylinder is $F=2\pi rh$

Given $h=300\ mm=30\ cm, r=100\ mm=10\ cm$

Then

$$F=2\pi(10\ cm)(30\ cm)=600\pi\ cm^2\approx1885\ cm^2$$