Grade 8 Geometry: Cones Worksheet
A worksheet for 8th-grade students covering the properties, surface area, and volume of cones.
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Grade 8 Geometry: Cones
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Read each question carefully and answer to the best of your ability. Show all your work for calculations.
1. Which of the following is the formula for the volume of a cone?
V = πr²h
V = (1/3)πr²h
V = 2πrh
V = (1/2)bh
2. The slant height of a cone is the distance from the apex to what part of the base?
Center
Any point on the circumference
A point on the circumference along the height
The radius
1. The base of a cone is always a .
2. The of a cone connects the apex to the center of the base.
3. The curved surface area of a cone is given by the formula .
1. Calculate the volume of the cone shown below. Use π ≈ 3.14.
Show your work:
1. A cone has a radius of 3 cm and a slant height of 5 cm. Calculate its total surface area. Use π ≈ 3.14.
1. The height, radius, and slant height of a cone form a right-angled triangle.
True
False
2. Doubling the radius of a cone will double its volume, assuming the height remains constant.
True
False
1. An ice cream cone has a height of 12 cm and a diameter of 8 cm. If the cone is completely filled with ice cream, what is the volume of the ice cream? How much paper would be needed to make the cone (curved surface area only)? Use π ≈ 3.14. Round your answers to two decimal places.