Given height of cylinder , h = 3cm

Base area of cylinder , r^{2} = 100cm^{2} …………..(i)

Volume of solid = 500cm^{3}

Given cylinder and cone have equal bases. the radii will be equal.

Radius of cone = radius of cylinder = r

Let height of cone be H

Volume of solid = volume of cylinder + volume of cone

500 = r^{2}h+(1/3) r^{2}H

500 = 100×3+(1/3)×100×H [∵r^{2} = 100, base area of cylinder and cone are equal]

500 = 300+(100/3)H

(100/3)H = 200

H = 3×200/100 = 6

Hence height of cone is 6cm.

Total height of figure = h+H

= 3+6 = 9cm

Hence the total height of the figure is 9cm.