Question

23 type the correct answer in the box a bathtub is filling with water at a rate of 72 inch³/second. the density of water is 0.58 ounce/inch³. how long will it take for the tub to fill with 11,000 ounces of water? express your answer to the correct number of significant figures. it will take seconds.

Explanation:

Step1: Find volume of 1100 ounces of water

$V=\frac{m}{
ho}$, where $m = 1100$ ounces and $
ho=0.58$ ounces/inch³. So $V=\frac{1100}{0.58}\text{ inch}^3\approx1896.55\text{ inch}^3$.

Step2: Calculate time

The filling - rate is $r = 72\text{ inch}^3/\text{s}$. Using the formula $t=\frac{V}{r}$, we substitute $V\approx1896.55\text{ inch}^3$ and $r = 72\text{ inch}^3/\text{s}$. Then $t=\frac{1896.55}{72}\text{ s}\approx26.34\text{ s}$. Rounding to the correct number of significant figures (2 significant figures since 72 has 2 significant figures), $t = 29.3\text{ s}$.

Answer:

$29.3$