Question

when a large object fell into a "full" swimming pool, it displaced 35.1 gallons of water. The density of the object is 1.65 g/mL. What is the object's weight in pounds?

Answer 1

Answer:

m = 483.32 pounds

Explanation:

Given that,

The density of the object is 1.65 g/mL

Volume of the water is 35.1 gallons

We know that,

1 gallon = 3785.41 mL

35.1 gallons = 132868 mL

The density of an object is equal to its mass divided by its volume. So,

$d=\dfrac{m}{V}\\\\m=d\times V\\\\m=1.65\ g/mL\times 132868\ mL\\\\m=219232.2\ \text{grams}$

Also, 1 pound = 453.592 grams

So, 219232.2 grams = 483.32 pounds

So, the weight of the object is 483.32 pounds.