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Let the radius of base be r.

Let the height of cone = H

Height of cylinder, h = 3cm

Area of base, A = 100 sq. cm

As we know the area of circle is πr²

⇒ πr² = 100 ….. (1)

Volume of complete solid figure,V = Volume of cone + volume of cylinder

It is given that volume of solid figure, V = 500 cubic cm

On substituting the value of V and πr² from eq (1), we get,

⇒ H = 6 cm

Total height of figure = h + H = 3 + 6 = 9 cm

∴ total height is 9 cm