#### Question

A solid cone of height 8 cm and base radius 6 cm is melted and recast into identical cones each of height 2 cm and diameter 1 cm. Find the number of cones formed.

#### Solution

Height of solid cone (h) = 8 cm

Radius (r) = 6 cm

Volume of solid cone =`1/3pir^2h`

`=1/3xxpixx6xx6xx8`

`=96picm^3`

Height of smaller cone = 2 cm

and radius = 1/2 cm

Volume of smaller cone` =1/3xxpixx1/2xx1/2xx2`

`= 1/6pi cm^3`

Number of cones so formed

`(96pi)/(1/6)pi`

`=96pixx6/pi`

`=576`

Is there an error in this question or solution?

Solution A Solid Cone of Height 8 Cm and Base Radius 6 Cm is Melted and Recast into Identical Cones Each Of Height 2 Cm and Diameter 1 Cm. Find the Number of Cones Formed. Concept: Area and Volume of Solids - Cone.