To solve this question we will use the formula for the volume of a cone and solve for h.
Recall that the volume of a cone is given by the following formula:

where h is the height, and r is its radius.
Solving the above equation for h we get:

Substituting r=3.5 cm and V=63 cu cm we get:
![h=(3(63cm^3))/((3.5cm)^2\pi)\approx4.9\operatorname{cm}.]()
Answer: 4.9 cm.