Answer:
75.102π
Step-by-step explanation:
Surface area is given by
SA= [tex]\pi rl+\pi r^2[/tex]
Volume 'V'=[tex]\pi r^2\frac{h}{3}[/tex]
lets determine 'h'
(96 x 3)/ π6² = h
h= 2.546 unit
Length 'l' = [tex]\sqrt{r^2+h^2}[/tex] => [tex]\sqrt{6^2+ 2.546^2}[/tex]
l= 6.517 unit
substituting all the required values in surface area formula
SA= (π x 6 x 6.517) + (π x 6²)
SA= 39.102π + 36π
SA= 75.102π
Thus, the surface area is 75.102π
