Answer:
Option C is correct
[tex]184 \pi[/tex] square units.
Step-by-step explanation:
Surface area of cone(S) is given by:
[tex]S = \pi r(r +l)[/tex] ....[1]
where,
r is the radius of the cone
l is the slant height of the cone.
As per the statement:
From the given diagram of cone:
radius of the cone(r) = 8 units
Slant height(l) = 15 units
Substitute in [1] we have;
[tex]S = \pi \cdot 8 \cdot (8+15)[/tex]
⇒[tex]S = \pi \cdot 8 \cdot (23)[/tex]
⇒[tex]S = 184 \pi[/tex] square units.
Therefore, the surface area of the right cone is, [tex]184 \pi[/tex] square units.
