Volume and Surface Area of Cones
Calculate the volume and surface area of cones using given dimensions. This worksheet reinforces geometric formulas and calculations for Grade 6 math.
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Volume and Surface Area of Cones
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Read each question carefully and calculate the volume or surface area of the cones as instructed. Use π ≈ 3.14. Round your answers to two decimal places where necessary.
1. Calculate the volume of a cone with a radius of 3 cm and a height of 7 cm.
2. A cone has a diameter of 10 meters and a height of 12 meters. Find its volume.
3. The formula for the lateral surface area of a cone is πrL, where r is the radius and L is the height.
4. To find the total surface area of a cone, you add the lateral surface area to the area of the .
5. A cone has a radius of 4 cm and a slant height of 9 cm. Calculate its lateral surface area.
6. Find the total surface area of a cone with a radius of 5 cm and a slant height of 13 cm.
7. Which of the following is the correct formula for the volume of a cone?
V = πr²h
V = (1/3)πr²h
V = 2πrh
V = πrL
8. What is the radius of a cone if its diameter is 18 cm?
18 cm
9 cm
36 cm
6 cm
9. The height of a cone is always shorter than its slant height.
True
False
10. Doubling the radius of a cone will double its volume.
True
False