A sphere and a cone both have a radius of 10 cm, and they have the same volume. Find the height of the cone.

Question

asked Feb 7, 2021 154k views

1 Answer

Jakeem · Answer 1 · 2021-02-13T05:15:22+0000

Answer:

h = 40 cm

Explanation:

The volume of a sphere is given by :

$V_s=(4)/(3)\pi r^3$

The volume of a cone is given by :

$V_c=(1)/(3)\pi r^2h$

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.

$V_s=V_c\\\\(4)/(3)\pi r^3=(1)/(3)\pi r^2h\\\\4r=h\\\\h=4* 10\\\\=40\ cm$

So, the height of the cone is 40 cm.