Posted by **Anonymous** on Monday, May 9, 2011 at 8:50am.

If the radius of a cone is cut in half, the volume of the cone is multiplied by what number?

- geometry: volume of cone -
**Jai**, Monday, May 9, 2011 at 8:58am
recall that volume of cone is given by

V = pi*(r^2)*h/3

where

pi = 3.14 (constant)

r = radius

h = height

if r becomes (1/2)r,

V,new = pi*[(1/2)r]^2*h/3

V,new = 1/4[pi*(r^2)*h/3]

V,new = (1/4)V

thus multiplied by 1/4.

hope this helps~ :)

- geometry: volume of cone -
**Reiny**, Monday, May 9, 2011 at 8:58am
original volume = (1/3)π(r^2)h

new volume = (1/3)π(r/2)^2 h = (1/3)π((r^2)/4)h

so multiplied by 1/4

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