- #1
icystrike said:The Attempt at a Solution
v=1/3 pi r^2 h
dv/dt = 1/3 pi (2rh dr/dt + r^2 dh/dt)
now i sub r=15/3 and h=3 .
Now i express dr/dt=dr/dh x dh/dt
and find dr/dh .
But it fails
sylas said:The equation for v looks okay, as long as h is <= 4.
The substitution r = 15/3 is wrong.
You should be able to express r in terms of h. What is the relation between r and h? Note that if you use this, you can get just get rid of r altogether, which will be nice.
Cheers -- sylas
icystrike said:could it be r=h tan (a) ? thanks btw =D
Volume change refers to the change in the amount of space occupied by a substance or object. It can be measured in units such as cubic meters or liters.
Solving for volume change is important in understanding the behavior and properties of substances and objects. It can also be used in various applications such as designing structures and conducting experiments.
The formula for calculating volume change is V = Vf - Vi, where V is the volume change, Vf is the final volume, and Vi is the initial volume.
A failed attempt at solving for volume change could be due to incorrect measurements, using the wrong formula, or neglecting the effects of temperature and pressure on volume. Another reason could be experimental errors or limitations in equipment.
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