Grade 10 Geometry: Cylinders Worksheet
A Grade 10 math worksheet focusing on cylinders, including calculating surface area and volume, and solving related problems.
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Grade 10 Geometry: Cylinders
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Read each question carefully and answer to the best of your ability. Show all your work for full credit. Use π ≈ 3.14 where necessary.
1. Consider a right circular cylinder. If the radius of the base is 'r' and the height is 'h', write down the formula for its volume and its total surface area.
2. Calculate the volume and total surface area of the cylinder shown below.
Volume:
Surface Area:
3. A cylindrical can has a radius of 4 cm and a height of 12 cm. The volume of the can is approximately cm³. (Round to two decimal places)
4. If the lateral surface area of a cylinder is 120π cm² and its height is 10 cm, then its radius is cm.
5. Which of the following statements is true about the cross-section of a cylinder parallel to its base?
It is always a rectangle.
It is always an ellipse.
It is always a circle.
It can be a square or a circle.
6. The volume of a cylinder is directly proportional to its height.
True
False
7. A water tank is in the shape of a cylinder with a diameter of 8 meters and a height of 5 meters. How many liters of water can it hold? (1 m³ = 1000 liters)