<PRE><B>Question 420807</B>
A sphere has a volume of 32 in^3. If the diameter is halved, find the new volume.
----
Vol = (4/3)pi*r^3
---
32 = (4/3)pi*r^3
24 = pi*r^3
---
r = (24/pi)^(1/3)
------
If the diameter is halved, the radius is halved
---
New radius = (1/2)(24/pi)^(1/3)
New radius = (1/8)^(1/3)*(24/pi)^(1/3)
New radius = (3/pi)^(1/3)
---
New volume = (4/3)pi*[(3/pi)^(1/3)]^3
---
New volume = 4 cu in.
=======================
Cheers,
Stan H.
=======================</PRE>