If there are 7.5 gallons to the cubic foot, and a cylindrical storage tank has a radius of 21 ft and an altitude of 28 ft, then using 3.14159 for p ,how many gallons, correct to the nearest whole gallon, will the full storage tank hold?
To find the number of gallons that the full storage tank will hold, we first need to find the volume of the cylindrical tank, and then convert it to gallons.
The formula for the volume of a cylinder is given by V = πr^2h, where V is the volume, π is a mathematical constant (approximately 3.14159), r is the radius, and h is the altitude.
Given that the radius of the tank is 21 ft and the altitude is 28 ft, we can substitute these values into the formula:
V = 3.14159 * (21 ft)^2 * 28 ft
Now let's calculate the volume:
V ≈ 3.14159 * (441 ft^2) * 28 ft
≈ 3.14159 * 12348 ft^3
≈ 38721.69 ft^3
Next, we need to convert the volume from cubic feet to gallons. We are told that there are 7.5 gallons in one cubic foot, so we can multiply the volume by the conversion factor:
Volume in gallons = 38721.69 ft^3 * 7.5 gallons/ft^3
Now let's calculate the volume in gallons:
Volume in gallons ≈ 290413.175 gallons
Rounding to the nearest whole gallon, the full storage tank will hold approximately 290,413 gallons.