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 in cm2 is
192.5
Let the radius and height of the cone be r and h
Base area =πr2=154
⇒r=7 cm
∴h=34×7=214 cm (Given that rh=43)
From the relation l2=h2+r2
⇒l=√(h2+r2)
=√((214)2+72)
=√441+49×1616
=√122516
∴l=354 cm
⇒ So, curved surface area = πrl
⇒ 227×(7)×354=192.5 cm2