serafimharmane4685 serafimharmane4685
  • 13-06-2018
  • Mathematics
contestada

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

Respuesta :

carlosego
carlosego carlosego
  • 22-06-2018
By definition, the surface area of a cone is given by:
 [tex]A = \pi * r ^ 2 + \pi * r * l [/tex]
 Where,
 r: radius of the circular base
 l: inclined height.
 Substituting values we have:
 [tex]A = \pi * 2 ^ 2 + \pi * 2 * 6 [/tex]
 Rewriting we have:
 [tex]A = 4 \pi + 12 \pi A = 16 \pi units ^ 2[/tex]
 Answer:
 
its surface area is:
 
b.16pi units ^ 2
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