The radius and height of a cone are in the ratio 4: 3. The area of the base is 154 cm2. The area of the curved surface of cone is ___
Given, Solid:Cone
Height of cone =h
Radius of base =r
rh=43
Base area, πr2=154
⇒r=7 cm
So,
h=34×7=214
Length of cone, l=√(h2+r2)=354
So, curved surface area of cone =πrl=227×(7)×354=192.5 cm2