a semicircular sheet of metal of diameter28cm is bent into an open conical cup.find the depth and capacity?

Question

please show all the steps

Answer 1

The cone would have a round base of 14 cm diameter or 7 cm radius. We can figure out height of the cone from the info we have:

h = Sqrt(14^2 - 7^2) = Sqrt(147)

With this, we can compute the volume:

V = 1/3 Sqrt(147) pi 7^2 = approximately 622 cubic cm