Question

A solid hemispherical at the bottom and conical above. If CSA of the two parts are equal , then find the ratio of the radius and height of the conical part?

Answer 1

Here is the answer to your question.

 

Let the radii of the hemispherical shape and the conical shape be r each

It is given that 2 Πr2 = Π rl

⇒l = 2r

 height of the cone =√l^2-r^2=√(2r^2)-r^2=√3r
raito
r:√3r
1:√3r

hope it's clear to you...