Properties of Cones Worksheet
Explore the properties, surface area, and volume of cones with this Grade 11 math worksheet.
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Properties of Cones
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Read each question carefully and answer to the best of your ability. Show all your work for calculation problems.
1. Which of the following best describes the shape of a cone?
A pyramid with a circular base.
A 3D shape with a single circular base and a curved surface tapering to a single vertex.
A cylinder with a pointed top.
A prism with a circular base.
2. The formula for the volume of a cone is:
V = πr²h
V = 1/3πr²h
V = 2πrh
V = πrl
3. The of a cone is the distance from the apex to any point on the circumference of the base.
4. The flat circular surface of a cone is called its .
5. Calculate the volume of a cone with a radius of 5 cm and a height of 12 cm. (Use π ≈ 3.14)
6. A cone has a slant height of 13 inches and a radius of 5 inches. Find the height of the cone.
7. The lateral surface area of a cone is given by the formula A = πrl, where 'l' is the slant height.
True
False
8. All cones have a circular base.
True
False
Match the term on the left with its definition on the right.
9. Apex
a. The distance from the center of the base to the edge.
10. Radius
b. The highest point of the cone.
11. Slant Height
c. The distance from the apex to a point on the circumference of the base along the surface.
12. A party hat is in the shape of a cone with a radius of 3 inches and a height of 4 inches. What is the lateral surface area of the hat? (Use π ≈ 3.14)