Cylinder Geometry Worksheet

Cylinder Geometry Worksheet

Read each question carefully and provide your answers in the space provided. Show all your work for full credit.

1. Define what a right circular cylinder is and list its key properties.

2. Explain the difference between the lateral surface area and the total surface area of a cylinder.

Complete the following formulas for a cylinder with radius 'r' and height 'h':

1. Area of the base (circular): A =  

2. Lateral Surface Area: LSA =  

3. Total Surface Area: TSA =  

4. Volume: V =  

For the cylinder shown below, calculate its lateral surface area, total surface area, and volume. Use π ≈ 3.14.

1. An oblique cylinder has its axis perpendicular to its bases.

2. Doubling the radius of a cylinder while keeping the height constant will double its volume.

1. A cylindrical can has a radius of 3 cm and a height of 8 cm. What is its volume?

2. If the total surface area of a cylinder is 96π cm² and its radius is 4 cm, what is its height?

1. A cylindrical water tank has a diameter of 10 feet and a height of 15 feet. If the tank is currently filled to 75% of its capacity, how many cubic feet of water are in the tank? (Use π ≈ 3.14)

2. A company is designing a new cylindrical can. They want the can to have a volume of 500 cm³. If the radius of the can is 4 cm, what should be the height of the can to the nearest hundredth of a centimeter? (Use π ≈ 3.14)