Question

A cylinder with base radius 8 cm and height 2 cm is melted to form a cone of height 6 cm. Calculate the radius of the base of the cone.

Answer 1

We have, 

base radius of the cylinder, r = 8 cm,

Height of the cylinder, h = 2 cm and 

Height of the cone, H = 6 cm

Let the base radius of the cone be R.

`=> 1/3 pi"R"^2"H" = pi"r"^2"h"`

`=> "R"^2 = ("3r"^2"h")/"H"`

`=> "R"^2 = (3xx8xx8xx2)/6`

`=> "R"^2 = 64`

`=> "R" = sqrt(64)`

∴ R = 8 cm

So, the radius of the base of the cone is 8 cm.