Cones: Surface Area and Volume (Grade 12)
Explore the properties of cones, including calculating surface area and volume, with this Grade 12 mathematics worksheet.
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Cones: Surface Area and Volume
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Read each question carefully and provide detailed solutions. Remember to include units in your final answers. Use π ≈ 3.14 where necessary.
1. A conical tent has a radius of 5 meters and a height of 12 meters. Calculate the volume of air inside the tent.
2. A cone-shaped funnel has a diameter of 10 cm and a slant height of 13 cm. What is its volume?
3. A party hat is shaped like a cone with a radius of 9 cm and a slant height of 15 cm. How much material is needed to make the hat (excluding the base)?
4. A traffic cone has a height of 60 cm and a base circumference of 188.4 cm. Calculate the total surface area of the cone (including the base).
5. The distance from the apex to any point on the circumference of the base of a cone is called the .
6. The formula for the volume of a cone is V = .
7. The lateral surface area of a cone is given by the formula LSA = .
8. Which of the following is NOT a component of a cone?
Apex
Base
Slant height
Edge
9. If the radius of a cone is doubled and its height remains the same, how does its volume change?
It doubles
It triples
It quadruples
It halves
10. The height of a cone is always shorter than its slant height.
True
False
11. The base of a cone is always a circle.
True
False