Find, in terms of π, the curved surface area of a cone with circular base diameter 10cm and height 12cm
The radius of the circular base is 5cm (since the diameter is 10cm). Using Pythagoras' Theorem, we can find the slant height of the cone:
s = √(r^2 + h^2)
s = √(5^2 + 12^2)
s = √169
s = 13cm
The curved surface area of the cone is given by:
πrs
Substituting in the values we have calculated:
π × 5cm × 13cm
= 65π cm²
Therefore, the curved surface area of the cone is 65π cm².