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Volume and Surface Area problems

  • 1. A chord of length 16 cm is drawn in a circle of radius 10 cm. The distance of the chord from the centre of the circle is

  • Options
  • A. 8cm
  • B. 6cm
  • C. 4cm
  • D. 12cm
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  • 2. An angle in a semicircle is

  • Options
  • A. 45°
  • B. 60°
  • C. 90°
  • D. 120°
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  • 3. If in ?ABC, DE ||BC, AB = 7.5cm, BD = 6cm and DE = 2cm, then the length of BC in cm is

  • Options
  • A. 6
  • B. 8
  • C. 10
  • D. 10.5
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  • 4. A circle is inscribed in a square. If the length of the diagonal of the square is 14?2 cm, what is the area (in sq cm) of the circle?

  • Options
  • A. 308
  • B. 462
  • C. 154
  • D. 616
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  • 5. A cone of radius 7 cm and height 12 cm is completely filled with water. This water is emptied into an empty cylindrical vessel of radius 3.5 cm. What will be the height of water in this vessel?

  • Options
  • A. 16 cm
  • B. 32 cm
  • C. 5.33 cm
  • D. 8 cm
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  • 6. The total surface area of a hemisphere is 166.32 sq cm, find its radius?

  • Options
  • A. 4.2 cm
  • B. 8.4 cm
  • C. 1.4 cm
  • D. 2.1 cm
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  • 7. ?ABC is similar to ?DEF. Length of AB is 18 cm and length of the corresponding side DE is 10 cm. What is the ratio of Perimeter of ?ABC : Perimeter of ?DEF?

  • Options
  • A. 5:9
  • B. 9:5
  • C. 81:25
  • D. 25:81
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  • 8. Volume of a cylinder is 770 cubic cm. If circumference of its base is 22 cm, what will be the curved surface area of the cylinder? (Take ? = 22/7)

  • Options
  • A. 440 sq cms
  • B. 880 sq cms
  • C. 220 sq cms
  • D. 660 sq cms
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  • 9. What will be the sum of the measures all the interior angles of a polygon having 14 sides?

  • Options
  • A. 2520°
  • B. 2160°
  • C. 2880°
  • D. 3240°
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  • 10. In a triangle the length of the side opposite the angle which measures 45° is 8 cm, what is the length of the side opposite to the angle which measures 90°?

  • Options
  • A. 8?2 cm
  • B. 4?2 cm
  • C. 8?3 cm
  • D. 4?3 cm
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