The volume of a sphere is 904.32 mm^3. What is the approximate volume of a cone that has the same height and circular base with the same diameter? Use 3.14 for pi and round to t…

Question

asked Jan 2, 2022 57.0k views

1 Answer

Rijumone · Answer 1 · 2022-01-08T18:20:51+0000

Answer:

$V_c=452.16\ mm^3$

Explanation:

Given that,

The volume of a sphere is 904.32 mm³.

The volume of a cone that has the same height and circular base with the same diameter is:

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

The volume of a sphere with the same radius is:

$V_s=(4)/(3)\pi r^3=2* (2)/(3)\pi r^3$

So, the volume of sphere is :

$V_c=(V_s)/(2)\\\\V_c=(904.32 )/(2)\\\\V_c=452.16\ mm^3$

So, the volume of the cone is
$452.16\ mm^3$ .