National Metric Week - The Solutions
October 06, 2008
2.54ft(12in/1ft)(2.54cm/1in) = 77.42cm, to the nearest hundredth.
(3.8 × 106mL)(1L/1000mL) = 3.8 × 103L
Note that because the metric system is based on tens, conversions are very easy. If you are converting from a smaller unit to a larger unit, you just have to move your decimal to the left the appropriate number of spaces (if you are converting from a larger unit to a smaller unit, you move the decimal to the right). In this case we are converting from a smaller unit (mL) to a larger unit (L), so since the larger unit is 1000 times bigger that the smaller unit we move the decimal 3 times to the left. Thus, 106 becomes 103, giving us 3.8 × 103L.
First, we need to make sure all relevant measurements are in cm.
0.5m(100cm/1m) = 50cm
Now we can solve for volume.
V = hπr2 = (50)π(52) = 3926.9908… ≈ 3927 cubic centimeters, to the nearest whole number.