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:
[tex]V=\frac{1}{3}hr^2\pi,[/tex]
where h is the height, and r is its radius.
Solving the above equation for h we get:
[tex]\begin{gathered} 3V=hr^2\pi, \\ h=\frac{3V}{r^2\pi}. \end{gathered}[/tex]
Substituting r=3.5 cm and V=63 cu cm we get:
[tex]h=\frac{3(63cm^3)}{(3.5cm)^2\pi}\approx4.9\operatorname{cm}.[/tex]
Answer: 4.9 cm.
