Question

a cylinder and a cone are of the same radius and same height. expressthe ratio of their CSA

Answer 1

Let the radius be r unit. and height be h unit.
CYLINDER
Curved Surface Area= 2πrh sq. unit.
CONE
Curved Surface Area= πrl
= πr√h²+r²
Ratio of their CSA = 2πrh: πr√h²+r²
= 2h: √h²+r²
Squaring both antecedent and concequent
= (2h)²: (√h²+r²)²
= 4 h² : h²+r²