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The figure is shown below:

Given that, radius(r) is 8 cm, height of cylinder(H) is 10 cm and height of cone(h) is 6cm.

Also, l = √ r² + h²

⇒ l = √ 8² + 6²

⇒ l = √ 64 + 36

⇒ l = √ 100

⇒ l = 10

Now, total surface area of solid = surface area of cone + surface area of cylinder + surface area of sphere

⇒ total surface area of solid = πrl + 2πrH + 2πr² = πr(l + 2H + 2r)

= 3.14 × 8(10 + 2 × 10 + 2 × 8)

= 3.14 × 8 × 46

= 1155.55 cm²