Worksheets: solids of revolutionSolid geometry · high school

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Answer key · group A · for the teacher · sheet no. 204 517

Solids of revolution

1.714π cm²2 · 17 · 17 = 578 ;2 · 17 · 4 = 136 ;578 + 136 = 714

2.972π m³9 · 9 · 9 = 729 ;4 · 729 : 3 = 972

3.343π/4 cm³7 · 1 = 7 ;7 : 2 = 3.5 ;π · 3.5 · 3.5 · 7 = 343π/4

4.192π cm³8 · 8 = 64 ;64 · 9 : 3 = 192

5.320π cm²π · 16 · 20 = 320π

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Answer key

Quiz

Solids of revolution

GroupAB

Name Date Score / 16

1.Compute the total surface area.A cylinder has a base radius of 18 cm and a height of 33 cm.(3 pt)

2.Compute the volume of the sphere.A sphere has a diameter of 6 dm.(3 pt)

3.Compute the volume of the cylinder.The axial cross-section of a cylinder is a square with a diagonal of 2√2 cm.(3 pt)

4.Compute the volume of the solid.A cylinder has a base radius of 14 cm and a height of 11 cm.(2 pt)

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Group B

Quiz

Solids of revolution

GroupAB

Name Date Score / 16

1.Compute the total surface area.A cylinder has a base radius of 17 cm and a height of 4 cm.(3 pt)

2.Compute the volume of the sphere.A sphere has a radius of 9 m.(3 pt)

3.Compute the volume of the cylinder.The diagonal of the axial cross-section of a cylinder makes an angle of 45° with the base, and the diameter of the base is 7 cm.(3 pt)

4.Compute the volume of the solid.A cone has a base radius of 8 cm and a height of 9 cm.(2 pt)

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Group A

Sheet settings

Quiz6 questions2 groups1 topic

Sheet no.204 517The number is only shown here and on the answer key - never on the student sheet. The same number with the same topics gives the same sheet.

answer key at the endall groups

Quiz

Solids of revolution

GroupAB

Name Date Score / 16

1.Compute the total surface area.A cylinder has a base radius of 17 cm and a height of 4 cm.(3 pt)

2.Compute the volume of the sphere.A sphere has a radius of 9 m.(3 pt)

3.Compute the volume of the cylinder.The diagonal of the axial cross-section of a cylinder makes an angle of 45° with the base, and the diameter of the base is 7 cm.(3 pt)

4.Compute the volume of the solid.A cone has a base radius of 8 cm and a height of 9 cm.(2 pt)

5.Compute the curved surface area of the cone.A cone has a base radius of 16 cm and a slant height of 20 cm.(2 pt)

6.Compute the total surface area.A cylinder has a base radius of 25 cm and a height of 33 cm.(3 pt)

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Answer key · group A · for the teacher · sheet no. 204 517

Solids of revolution

1.714π cm²2 · 17 · 17 = 578 ;2 · 17 · 4 = 136 ;578 + 136 = 714

2.972π m³9 · 9 · 9 = 729 ;4 · 729 : 3 = 972

3.343π/4 cm³7 · 1 = 7 ;7 : 2 = 3.5 ;π · 3.5 · 3.5 · 7 = 343π/4

4.192π cm³8 · 8 = 64 ;64 · 9 : 3 = 192

5.320π cm²π · 16 · 20 = 320π

6.2900π cm²2 · 25 · 25 = 1250 ;2 · 25 · 33 = 1650 ;1250 + 1650 = 2900

The method lists the solution steps - handy when going through the sheet with the class.

Maths worksheets · phiboard.comsheet no. 999 999 · answer key, page 10 of 10

Quiz

Solids of revolution

GroupAB

Name Date Score / 16

1.Compute the total surface area.A cylinder has a base radius of 18 cm and a height of 33 cm.(3 pt)

2.Compute the volume of the sphere.A sphere has a diameter of 6 dm.(3 pt)

3.Compute the volume of the cylinder.The axial cross-section of a cylinder is a square with a diagonal of 2√2 cm.(3 pt)

4.Compute the volume of the solid.A cylinder has a base radius of 14 cm and a height of 11 cm.(2 pt)

5.Compute the curved surface area of the cone.A cone has a height of 24 cm and a slant height of 25 cm.(2 pt)

6.Compute the total surface area.A cylinder has a base radius of 20 cm and a height of 25 cm.(3 pt)

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Answer key · group B · for the teacher · sheet no. 204 517

Solids of revolution

1.1836π cm²2 · 18 · 18 = 648 ;2 · 18 · 33 = 1188 ;648 + 1188 = 1836

2.36π dm³6 : 2 = 3 ;3 · 3 · 3 = 27 ;4 · 27 : 3 = 36

3.2π cm³2√2 : √2 = 2 ;2 : 2 = 1 ;π · 1 · 1 · 2 = 2π

4.2156π cm³14 · 14 = 196 ;196 · 11 = 2156

5.175π cm²25 · 25 − 24 · 24 = 49, √49 = 7 ;π · 7 · 25 = 175π

6.1800π cm²2 · 20 · 20 = 800 ;2 · 20 · 25 = 1000 ;800 + 1000 = 1800

The method lists the solution steps - handy when going through the sheet with the class.

Maths worksheets · phiboard.comsheet no. 999 999 · answer key, page 10 of 10

What goes on the sheet: solids of revolution

The generator draws questions from 5 question types in this topic. Every quiz group gets the same types in the same order, only with different numbers, and a practice sheet goes from easier to harder.

Volume of a cylinder and of a cone
Surface area and volume of a cone
Surface area of a cylinder
Volume and surface area of a sphere
Angles of a cone and a cylinder

What the section covers in the curriculum: relative position of lines in a cube, diagonal of a cuboid and its angle with the base, volume of prisms and pyramids, surface area and volume of regular prisms and pyramids, angles in pyramids, surface area and volume of cylinders, cones and spheres, angles in cones and cylinders, similar solids

Students can also practise online - the same question types, with step-by-step solutions: Exercises: solids of revolution →

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