To find the lateral surface area of the cylindrical storage tank, we need to calculate the area of the curved surface, excluding the top and bottom of the tank.
The formula for the lateral surface area of a cylinder is given by the equation:
Lateral Surface Area = 2Ï€rh
where "r" is the radius of the cylinder and "h" is the height of the cylinder.
In this case, the diameter of the tank is given as 10 feet, and since the radius is half the diameter, the radius "r" would be 10/2 = 5 feet. The height "h" is given as 100 feet.
Using the formula, we can calculate the lateral surface area as follows:
Lateral Surface Area = 2 * 3.14 * 5 * 100
= 3140 square feet.
Therefore, the lateral surface area of the cylindrical storage tank is 3140 square feet.
To find the volume of the cylindrical tank, we can use the formula for the volume of a cylinder:
Volume = πr^2h
Using the given measurements, the radius "r" is 5 feet, and the height "h" is 100 feet. Substituting these values into the formula, we can calculate the volume as follows:
Volume = 3.14 * 5^2 * 100
= 3.14 * 25 * 100
= 7850 cubic feet.
Therefore, the volume of the cylindrical storage tank is 7850 cubic feet.
To find the volume in gallons of water, given the conversion rate of 7.48 gallons equal to 1 cubic foot, multiply the volume in cubic feet by the conversion factor:
Volume in gallons = 7850 cubic feet * 7.48 gallons/1 cubic foot
= 58718 gallons.
Therefore, the volume in gallons of water in the cylindrical storage tank is 58718 gallons.