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Find surface areas of cones, spheres and hemispheres

10th grade (Year 11 in England) · 16 questions · Common Core: HSG.GMD.A.3 · England: GCSE Higher Geometry

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  1. Question 1

    Find the total surface area of a solid hemisphere of radius 6 cm (curved part and flat face). Give it in terms of π.

    Answer

  2. Question 2

    Find the surface area of a sphere of radius 11 cm. Give an exact answer in terms of π.

    Answer

  3. Question 3

    A cone has base radius 3 cm and perpendicular height 4 cm. Find its curved surface area, in terms of π.

    Answer

  4. Question 4

    Find the total surface area of a solid hemisphere of radius 4 cm (curved part and flat face). Give it in terms of π.

    Answer

  5. Question 5

    Find the surface area of a sphere of radius 12 cm. Give an exact answer in terms of π.

    Answer

  6. Question 6

    A cone has base radius 10 cm and perpendicular height 24 cm. Find its curved surface area, in terms of π.

    Answer

  7. Question 7

    Find the total surface area of a solid hemisphere of radius 5 cm (curved part and flat face). Give it in terms of π.

    Answer

  8. Question 8

    Find the surface area of a sphere of radius 10 cm. Give an exact answer in terms of π.

    Answer

  9. Question 9

    A cone has base radius 6 cm and perpendicular height 8 cm. Find its curved surface area, in terms of π.

    Answer

  10. Question 10

    Find the total surface area of a solid hemisphere of radius 4 cm (curved part and flat face). Give it in terms of π.

    Answer

  11. Question 11

    Find the surface area of a sphere of radius 2 cm. Give an exact answer in terms of π.

    Answer

  12. Question 12

    A cone has base radius 3 cm and perpendicular height 4 cm. Find its curved surface area, in terms of π.

    Answer

  13. Question 13

    Find the total surface area of a solid hemisphere of radius 3 cm (curved part and flat face). Give it in terms of π.

    Answer

  14. Question 14

    Find the surface area of a sphere of radius 12 cm. Give an exact answer in terms of π.

    Answer

  15. Question 15

    A cone has base radius 10 cm and perpendicular height 24 cm. Find its total surface area, in terms of π.

    Answer

  16. Question 16

    Find the total surface area of a solid hemisphere of radius 6 cm (curved part and flat face). Give it in terms of π.

    Answer

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Answer key: Find surface areas of cones, spheres and hemispheres

  1. 1. 108*pi

  2. 2. 484*pi

  3. 3. 15*pi

  4. 4. 48*pi

  5. 5. 576*pi

  6. 6. 260*pi

  7. 7. 75*pi

  8. 8. 400*pi

  9. 9. 60*pi

  10. 10. 48*pi

  11. 11. 16*pi

  12. 12. 15*pi

  13. 13. 27*pi

  14. 14. 576*pi

  15. 15. 360*pi

  16. 16. 108*pi