A metallic Cylinder of radius 8cm and height 2cm is melted and converted into a right circular cone of height 6cm. The radius of the base of the cone is

Given: A metallic Cylinder of radius 8cm and height 2cm


Right circular cone of height 6cm


Volume of a cylinder is given by: π × r2 × h


Volume of a cone is given by: × π × r2 × h


Let V1 be the volume of the Cylinder


V1 = π × r2 × h


V1 = π × (8)2 × (2) = 128π


Let V2 be the volume of the cone


V2 = × π × r2 × h


V2 = × π × (r)2 × (6) = 2πr2


Here, Solid Cylinder is melted and made into a Solid cone.


V1 = V2


128π = 2πr2


2πr2 = 128π


r2 = = 64


r2 = 64


r = 64 = 8cm


Radius of the base of the cone is 8cm.

62