SOLUTION: A storage tank is shaped like a cylinder. The cylinder is 8 ft tall, and the base has a diameter of 10 ft. Find the cost of the container if the material f which the cylinder is ma

Algebra ->  Volume -> SOLUTION: A storage tank is shaped like a cylinder. The cylinder is 8 ft tall, and the base has a diameter of 10 ft. Find the cost of the container if the material f which the cylinder is ma      Log On


   

Question 307768: A storage tank is shaped like a cylinder. The cylinder is 8 ft tall, and the base has a diameter of 10 ft. Find the cost of the container if the material f which the cylinder is made costs $5 per square foot.
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
The SURFACE AREA of a cylinder consists of the lateral (side) area plus two end pieces (circles!).

Lateral Area = Distance around the circle (i.e., circumference) * Height
Lateral Area = pi%2Ad* height.
Lateral Area = pi%2A10%2A8=+80%2Api

Circular Base = pi%2Ar%5E2, where radius = 5 feet.
Circular Base = pi%2A5%5E2=+25%2Api

Total Area = 80%2Api+%2B+25%2Api%2B25%2Api=+130%2Api square feet.

Total Cost = Total Area * $5 = $5%2A130%2Api=650%2Api or approximately $2041.

I have some additional explanation with examples solved in LIVING COLOR on my own website. Please go to "www2.seminolestate.edu/rrapalje". Look near the bottom of my Homepage for the link "Topics from Geometry". There are several topics that relate specifically to perimeters, areas, and volumes, with applications very similar to this problem.

I think you will find the explanations, both written and video, much easier to understand than traditional textbooks. Best of all, it's all FREE!!

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus