Question

A right cone has a slant height of 6 and a radius of 2. what is its surface area?

a.12 units2
b.16 units2
c.48 units2
d.24 units2

Answer 1

By definition, the surface area of a cone is given by:

`A = \pi * r ^ 2 + \pi * r * l`
Where,
r: radius of the circular base
l: inclined height.
Substituting values we have:

`A = \pi * 2 ^ 2 + \pi * 2 * 6`
Rewriting we have:

`A = 4 \pi + 12 \pi A = 16 \pi units ^ 2`
Answer:
its surface area is:
b.16pi units ^ 2