Given that the height of a cone is 6cm and the radius of the bottom circle is 8cm, what is the generatrix length of the cone?

Given that the height of a cone is 6cm and the radius of the bottom circle is 8cm, what is the generatrix length of the cone?


The height, generatrix and base radius of the cone form a right triangle, in which the generatrix is the hypotenuse
According to the Pythagorean theorem, generatrix &# 178; = height &# 178; + radius &# 178;
So bus = √ (6 & # 178; + 8 & # 178;) = √ (36 + 64) = √ 100 = 10cm