Grade 12 Geometry: Cylinders Worksheet

Grade 12 Geometry: Cylinders

Read each question carefully and answer to the best of your ability. Show all your work for calculations.

1. The formula for the volume of a cylinder is V =  , where r is the radius and h is the height.

2. The lateral surface area of a cylinder is given by the formula LSA =  .

3. A cylinder is a three-dimensional solid that has two parallel   bases connected by a curved surface.

1. A cylindrical can has a radius of 4 cm and a height of 10 cm. Calculate its total surface area. (Use π ≈ 3.14)

2. If the volume of a cylinder is 300π cubic meters and its height is 12 meters, what is the radius of the cylinder?

1. Which of the following is NOT a property of a right circular cylinder?

2. If the radius of a cylinder is doubled and its height remains the same, how does its volume change?

1. A cylinder can be formed by rotating a rectangle about one of its sides.

2. The cross-section of a cylinder parallel to its base is always a circle.

1. A cylindrical water tank has a diameter of 8 meters and a height of 5 meters. If the tank is filled to 75% of its capacity, what is the volume of water in the tank? (Use π ≈ 3.14)

2. A company is designing a new cylindrical container. They want its volume to be 500 cm³. If the radius of the base is 5 cm, what should be the height of the container? Round your answer to two decimal places. (Use π ≈ 3.14)