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.
Find, in terms of π, the curved surface area of a cone with circular base diameter 10cm and height 12cm
1 answer