Question:
A 434 cm^{3} cylindrical object has a radius of 5.3cm ,
how tall is the object? |
||
V = 434 cm^{3} r = 5.3 cm h = ? |
Step 1: |
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 = πr^{2}h |
Step 2: |
The formula
for the volume of a cylinder has V, r, and h, in it, so we write it
down. |
h = V / πr^{2} |
Step 3: |
Since the
problem
asks for the height, but our original formula is solved for volume, we
need
to rearrange it to get height by itself. |
h = 434 cm^{3} / π(5.3cm)^{2} |
Step 4: |
We now
re-write the formula with the values plugged in. |
cm^{3} / cm^{2} = cm |
Step 5: |
We calculate
(simplify) the units
in our formula. Since we are solving for height, we need to make
sure
units simplify to a valid unit of length. In this case, we get
"cm",
so we have a valid formula and values. |
434 / (5.3)^{2} = 15.450338 cm |
Step 6: |
Calculate
the numerical portion of the formula. Your answer should be in decimal
form. (This is an intermediate step and does not have to be
written down) |
h = 15 cm |
Step 7: |
Round your
answer to proper sig figs. Notice how the answer is labeled. (h =
...) |