Answer:
4
Step-by-step explanation:
1. the volume of the cone is:
[tex]V_c=\frac{1}{3}\pi hR^2,[/tex]
where 'h' - the height of the cone, 'π' - 3.1415.
2. the volume of the sphere is:
[tex]V_s=\frac{4}{3}\pi *R^3,[/tex]
where 'π' - 3.1415.
3. according to the condition:
[tex]V_c=V_s; => \frac{1}{3}\pi *h*R^2=\frac{4}{3} \pi*R^3; => h=4*R.[/tex]
4. h=4R means 4 time the height of the cone is larger then R.
