Student Worksheet, Middle School Activity 3

Oil is being stored in a conical storage tank having a radius of 6 feet and a height of 15 feet.

1. What is the capacity of the storage tank?

2. What is the ratio of the tank radius to its depth?

3. If the height of the oil in the tank is 10 ft., what is the radius of the oil in the tank?

4. What is the volume of the oil in the tank?

5. What is the ratio of the volume of the oil to the capacity of the tank?

6. What is the ratio of the radius of the oil to the radius of the tank?

7. What is the relationship between your answers to #5 and #6?

8. What is the area of the surface of the oil in the tank?

9. If the oil currently in the tank is pumped out at a rate of 2 cubic feet/minute, how long will it take to empty the tank?

10. If the oil currently in the tank is pumped into another tank that is a right cylinder with a radius of 8 feet and a depth of 12 feet, what will be the depth of the oil in this new tank?