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Volume and Surface Area problems


  • 1. Find the total surface area (in cm2 ) of a hemisphere of diameter 42 cm.

  • Options
  • A. 4158
  • B. 5782
  • C. 6321
  • D. 7782
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  • 2. In ?XYZ measure of angle Y is 90 deg. If sinX = 4/5, and XY = 6cm, then what is the length (in cm) of side YZ?

  • Options
  • A. 10
  • B. 5
  • C. 8
  • D. 4
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  • 3. In what ratio does the point T(x,0) divide the segment joining the points S(-4,-1) and U(1,4)?

  • Options
  • A. 1 : 4
  • B. 4 : 1
  • C. 1 : 2
  • D. 2 : 1
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  • 4. At what point does the line 2x - 3y = 6 cuts the Y axis?

  • Options
  • A. (0, 2)
  • B. (-2, 0)
  • C. (2, 0)
  • D. (0, -2)
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  • 5. The triangle in which the orthocenter, circumcentre, Incenter and the centroid coincide each other at a point is known as _____________.

  • Options
  • A. isosceles triangle
  • B. equilateral triangle
  • C. right angled triangle
  • D. obtuse angled triangle
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  • 6. Find the volume (in cm3) of a cube of side 7.5 cm.

  • Options
  • A. 421.875
  • B. 77.145
  • C. 39.245
  • D. 24.435
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  • 7. If the curved surface area of a right circular cone is 10010 sq cm and its slant height is 91 cm, find its total surface area.

  • Options
  • A. 27720 sq cm
  • B. 4620 sq cm
  • C. 6930 sq cm
  • D. 13860 sq cm
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  • 8. A cone of radius 3.5 cm and height 12 cm is completely filled with water. This water is emptied into an empty cylindrical vessel of radius 7 cm. What will be the height of water in this vessel?

  • Options
  • A. 2 cm
  • B. 0.33 cm
  • C. 0.5 cm
  • D. 1 cm
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  • 9. What is the total surface area (in sq cm) of a hollow cylinder open at both ends, if its length is 22 cm, external radius is 7 cm and thickness is 1 cm? (Take ? = 22/7)

  • Options
  • A. 1879.43
  • B. 3758.86
  • C. 939.715
  • D. 2819.145
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  • 10. Three angles of a quadrilateral are 60°,90°and 100°. Then the fourth angle of the quadrilateral is

  • Options
  • A. 95°
  • B. 100°
  • C. 110°
  • D. 115°
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