Cylinder Geometry Worksheet
A Grade 11 math worksheet focusing on the properties, surface area, and volume of cylinders.
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Cylinder Geometry Worksheet
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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.
Lateral Surface Area:
Total Surface Area:
Volume:
1. An oblique cylinder has its axis perpendicular to its bases.
True
False
2. Doubling the radius of a cylinder while keeping the height constant will double its volume.
True
False
1. A cylindrical can has a radius of 3 cm and a height of 8 cm. What is its volume?
24π cm³
72π cm³
48π cm³
144π cm³
2. If the total surface area of a cylinder is 96π cm² and its radius is 4 cm, what is its height?
2 cm
4 cm
6 cm
8 cm
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)