A 434 cm3 cylindrical object has a radius of 5.3cm ,
how tall is the object?
|V = 434 cm3
r = 5.3 cm
h = ?
||Make a Data
Table - notice that each is labeled as Volume, radius, height.
Also note that since the question is asking about the height,
that is labeled with a "?".
|V = πr2h
for the volume of a cylinder has V, r, and h, in it, so we write it
|h = V / πr2
asks for the height, but our original formula is solved for volume, we
to rearrange it to get height by itself.
|h = 434 cm3 / π(5.3cm)2
re-write the formula with the values plugged in.
|cm3 / cm2 = cm
(simplify) the units
in our formula. Since we are solving for height, we need to make
units simplify to a valid unit of length. In this case, we get
so we have a valid formula and values.
|434 / (5.3)2 = 15.450338 cm
the numerical portion of the formula. Your answer should be in decimal
form. (This is an intermediate step and does not have to be
|h = 15 cm
answer to proper sig figs. Notice how the answer is labeled. (h =