High School

A gallon of water weighs 8.34 pounds. The Stone family has an above-ground pool with a 12-foot diameter. How much weight is added to the pool when it is filled with 3,195 gallons of water?

Answer :

Final answer:

To find the weight when 3195 gallons of water is added to the pool, multiply the number of gallons by the weight of one gallon. This calculation gives a weight of 26,633.3 pounds.

Explanation:

In science and engineering, the weight of an object is the force acting on the object due to acceleration or gravity.

Some standard textbooks define weight as a vector quantity, the gravitational force acting on the object. Others[define weight as a scalar quantity, the magnitude of the gravitational force. Yet others define it as the magnitude of the reaction force exerted on a body by mechanisms that counteract the effects of gravity: the weight is the quantity that is measured by, for example, a spring scale. Thus, in a state of free fall, the weight would be zero.

To determine the weight added to the pool when filled with 3195 gallons of water, we need to consider the weight of one gallon of water, which is 8.34 pounds. Therefore, to find the collective weight of 3195 gallons, we multiply the total gallons by the weight of one gallon.

So, the equation will be as follows: weight_total = 3195 gallons x 8.34 lb/gallon.

Following this calculation, we find that the total weight added to the pool when filled with 3195 gallons of water is 26,633.3 pounds. Note that the diameter of the pool doesn't impact this particular calculation as we are focused on the weight of the water, not how it is dispersed in the pool volume.

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