Answer:
h = 40 cm
Step-by-step explanation:
The volume of a sphere is given by :
[tex]V_s=\dfrac{4}{3}\pi r^3[/tex]
The volume of a cone is given by :
[tex]V_c=\dfrac{1}{3}\pi r^2h[/tex]
r is radius and h is height
ATQ,
A sphere and a cone both have a radius of 10 cm and they have same volume.
[tex]V_s=V_c\\\\\dfrac{4}{3}\pi r^3=\dfrac{1}{3}\pi r^2h\\\\4r=h\\\\h=4\times 10\\\\=40\ cm[/tex]
So, the height of the cone is 40 cm.
