# Thread: % of Total Capacity

1. ## % of Total Capacity

A water storage tank has the shape of a cylinder with diameter 10 ft. It is mountain so that the circular cross-sections are vertical. If the depth of the water is 7 ft, what % of the total capacity is being used?

2. ## Re: % of Total Capacity

"It is mountain"? Oh! "mounted".

You are told the height of the tank but not the radius. Okay, just call that "R". What is the volume of a cylinder with radius R and height 10?

Finding the volume of the water is a little harder. You will need to integrate to find the area of a portion of a circle of radius R (> 7) up to a chord 7 ft above the base of the circle.