A cylinder of height 8 cm and radius 6 cm is melted and converted into 3 cones of the same radius and height that of cylinder. Determine the total curved surface area of cones.

180 $\pi cm^{2}$

We know that,

The curved surface area of a cone = πrl 

l = \(\sqrt {h^2 + r^2}\) 

Height of the cylinder = 8cm

Radius of the cylinder = 6cm

Now, r = 6 cm , h = 8 cm 

= l = \(\sqrt {8^2 + 6^2}\) = 10 cm 

We have moulded 3 cones from a cylinder =

Total curved surface area of cone = 3 × (π × r × l) = 3 × (π × 6 × 10) = 180 π cm²