Question

A solid sphere is melted and recast into a cone whose (base) radius is the same as that of the sphere. Show that the slant height of the cone bears ratio√17:4 to its height.

Answer 1

Answer:

Step-by-step explanation:

vol of sphere=4/3pi(r^3)......................(1)

vol of cone=1/3pi(r^2)h........................(2)

on equating 1&2,

we will get r=h/4

we know that l^2=r^2+h^2

l^2=h^2+h^2/16

l=root17/4

therefore l/h=root17/4   ie.,root17:4..............