A swimming pool that is 100 feet in length by 10 feet deep and 40 feet wide is filled with water
how many gallons of water are in the pool.
(1cubic foot of water = 7.48 gallons of water)
well for the volume of the water i got 40,000 cubic feet
then for the gallons i thought that you would take 40,000 and divide it by 7.48 and get 5347.59 is this correct
volume = 100*10*40 ft^3 = 40,000 ft^3 correct
However when doing units, make sure the ones you do not want cancel
40,000 ft^3 * (7.48 gal/ft^3)
ft^3 on the top cancels ft^3 on the bottom and gallons are left
so
299,200 gallons
A swimming pool is being drained. The number of gallons of water in the pool changes with time t according to the equation G = -4t + 100.
Yes, your approach is correct.
To find the volume of water in the pool, you multiply the length, width, and depth of the pool. So in this case, the volume of water is:
Volume = Length x Width x Depth
Volume = 100 ft x 40 ft x 10 ft
Volume = 40,000 cubic feet
Now, to convert the volume from cubic feet to gallons, you can use the conversion factor given, which is 1 cubic foot of water equals 7.48 gallons of water.
So, you divide the volume in cubic feet by the conversion factor:
Gallons = Volume (cubic feet) / Conversion factor (cubic feet per gallon)
Gallons = 40,000 cubic feet / 7.48 gallons
Gallons ≈ 5,347.59 gallons
Therefore, there are approximately 5,347.59 gallons of water in the pool.