Posted by Mike on .
A cylindrical storage tank has a height of 100 feet and a diameter of 10 feet.
(Use pi = 3.14)
What is the lateral surface area of the tank?
How do i find lateral surface area of the tank
What is the volume?
7850 cubic feet
What is the volume in gallons of water if 7.48 gallons= 1 cubic foot?
58718 gallons

Math 
Reiny,
lateral surface area is defined as the total area excluding the base.
so here it would be the "sleeve" of the cylinder, which would be a rectangle, plus the circular top
the length of the rectangle is the circumference of the circle.
so area
= 2pi(5)(100) + pi(5^2)
= 1025pi or appr. 3220 square feet
Volume = area of base x height
= pi(5^2)*100
= 2500pi or 7854 cubic feet
no. of gallons = 7854*7.48 = 58747.8 gallons
I used the calculator value for pi, you used 3.14, this explains the relatively small error in your answers. 
Math 
tchrwill,
The lateral surface area of a 3 dimensional body is the external surface area you would see by walking around the body or when viewing the body sideways. For instance, the lateral surface area of a cylinder is 2PiRh where R is the radius of the cylinder and h is the height of the cylinder. Lateral surface aerea does not include the area of the circular end surfaces.
Therefore, the lateral surface area of your cylinder is 2(3.14)5(100).