Volume and Surface Area of Cones Worksheet

Calculate the volume and surface area of various cones with this Grade 8 math worksheet, aligned with Common Core Geometry standards.

Grade 8 Math GeometryVolume and Surface Area of Cones

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Includes

3 Short AnswerFill in the BlanksMultiple Choice

Standards

CCSS.MATH.CONTENT.8.G.C.9

Topics

mathgeometryvolumesurface areaconesgrade 8

7 sections · Free to use · Printable

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Volume and Surface Area of Cones

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Read each question carefully and calculate the volume and surface area of the cones. Use π ≈ 3.14 and round your answers to two decimal places where necessary.

1. A cone has a radius of 5 cm and a height of 12 cm. Calculate its volume.

Volume:

2. A cone has a radius of 3 cm and a slant height of 5 cm. Calculate its total surface area.

Surface Area:

3. The formula for the volume of a cone is V = .

4. The formula for the lateral surface area of a cone is LSA = .

5. To find the total surface area of a cone, you add the lateral surface area to the area of the .

6. Which of the following is the correct unit for volume?

cm²

cm³

cm⁴

7. A conical party hat has a diameter of 10 inches and a slant height of 13 inches. How much material was used to make the hat (lateral surface area)?