Question

a log is either oak or pine. it displaces 2.7 gal of water and weighs 19.8 lb. part a calculate the density of the log in g/cm³. express your answer using two significant figures.

Explanation:

Step1: Convert mass to grams

1 lb = 453.592 g, so $m = 19.8\times453.592\ g\approx8981.12\ g$.

Step2: Convert volume to $cm^3$

1 gal = 3785.41 $cm^3$, so $V=2.7\times3785.41\ cm^3\approx10220.61\ cm^3$.

Step3: Calculate density

Density formula is $
ho=\frac{m}{V}$, so $
ho=\frac{8981.12}{10220.61}\ g/cm^3\approx0.88\ g/cm^3$.

Answer:

$0.88\ g/cm^3$