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Volume and Surface Area problems

  • 1. If 4r = h + r2+h2 then r: h = ? (r not equal to 0)

  • Options
  • A. 17:8
  • B. 8:17
  • C. 8:15
  • D. 15:8
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  • 2. In ?PQR, S and T are points on side PQ and PR respectively. ST is parallel to QR. If lengths of PS, SQ and PR are 6 cm, 9 cm and 12.5 cm respectively, what is the length of TR?

  • Options
  • A. 7.5 cm
  • B. 5 cm
  • C. 10 cm
  • D. 2.5 cm
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  • 3. How many balls of radius 2 cm can be made by melting a bigger ball of diameter 16 cm? (Take ? = 22/7)

  • Options
  • A. 64
  • B. 128
  • C. 32
  • D. 96
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  • 4. In a triangle the length of the side opposite the angle which measures 60° is 6?3 cm. What is the length of the side opposite to the angle which measures 90°?

  • Options
  • A. 12?3 cm
  • B. 6 cm
  • C. 12 cm
  • D. 3?3 cm
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  • 5. If a cone of radius 3.5 cm and height 9.6 cm is melted and constructed into a cylinder of the same radius, what will be the height of this cylinder? (Take ? = 22/7)

  • Options
  • A. 3.2 cm
  • B. 6.4 cm
  • C. 1.6 cm
  • D. 4.8 cm
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  • 6. Find length of the arc whose central angle is 90° and radius of the circle is 3.5 cm?

  • Options
  • A. 11 cm
  • B. 5.5 cm
  • C. 16.5 cm
  • D. 22 cm
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  • 7. In a triangle the length of the side opposite the angle which measures 30° is 9 cm, what is the length of the side opposite to the angle which measures 60°?

  • Options
  • A. 3?3 cm
  • B. 3/2 cm
  • C. 9/2 cm
  • D. 9?3 cm
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  • 8. A solid has 12 vertices and 30 edges. How many faces does it have?

  • Options
  • A. 22
  • B. 24
  • C. 26
  • D. 20
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  • 9. Curved surface area of a cylinder is 1232 sq cm. If circumference of its base is 154 cm, then what will be the height of the cylinder? (Take ? = 22/7)

  • Options
  • A. 16 cm
  • B. 4 cm
  • C. 8 cm
  • D. 12 cm
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  • 10. What must be the length (in cm) of the diagonal of a rectangle if its area and breadth are 120 sq.cm and 8 cm respectively ?

  • Options
  • A. 34
  • B. 17
  • C. 15
  • D. 30
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