Area of circular base = 616 cm²

We know that,

Area of circle = πr²

Where r is the radius of circle

Let the radius of circular base be r

We have,

πr² = 616 cm²

⇒ r² = 196

⇒ r = 14 cm

Now, Height = 48 cm [Given]

And we know,

Slant height, l =√(r² + h²)

Where r is radius and h is the height of the cone

l=√(14² + 48²)=√(196 + 2304)=√2500=50 cm

Now,

Total surface area of a cone = πr(l + r)

Where r is radius and l is slant height.

So, Putting values we have

Total surface of cone = π(14)(50 + 14)