Posted by StephanieNZ on .
The volume of a sphere is given by:
V=4/3 pie r cubed.
Use the formula, and show your workings, to find out what happens to the volume of a sphere if r is halved and r is trippled?
Please help as this has just completly lost me, i end up with
V = 4/3 Pie r cubed / eight .....for half of r.
You were correct,
when you cut the radius in half, the volume will be 1/8 of the original.
When you triple the radius, the new volume will be 27 times that of the original.
Look at what happens when we substitute the new radius for r
sub in 3r for the radius
V = (4/3)π(3r)^3
= 27 * (4/3)πr^3
Notice that the volume changes by the cube of the scaling factor,
taking 1/2 ----> (1/2)^3 = 1/8