Respuesta :

Answer:

see below  ( I do not think 449.57 m^2 is correct for surface area)

    Surface area = 374.65 m^2     Volume = 448.83 = ~~ 449 m^3  

Step-by-step explanation:

Find the SURFACE AREA    (NOT the volume)

Height of cone =  sqrt ( 13^2 - 4.5^2) = 12.1963 m

  surface area equation for cone = pi * r  * (r+ sqrt (h^2+r^2) ) = 247.4 m^2

Sphere surface area =  4 pi r^2   =  254.5 m^2

   HEMIsphere is 1/2 of this = 127.235 m^2

Add the two surface areas = 374.65  m^2

For VOLUME:    cone   1/3 pi r^2 h = 257.979 m^3

                         HEMIsphere = 1/2  4/3 pi r^3  = 190.851 m^3

                Total VOLUME is then 448.83 m^3

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