The base area of a right pyramid is 57 sq units and height is 10

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 Multiple Choice QuestionsMultiple Choice Questions

91.

A solid sphere and a solid hemisphere have the same total surface area. The the ratio of their volume is

  • square root of 3 space colon space 4
  • 3 square root of 3 space colon space 4
  • 2 square root of 3 space colon space 3
  • 2 square root of 3 space colon space 3
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92.

The radius and the height of a cone are each increased by 20%. Then the volume of the cone increases by

  • 20%

  • 20.5%

  • 62%

  • 62%

126 Views

93.

An inverted conical shaped vessel is filled with water to its brim. The height of the vessel is 8 cm and radius of the open end is 5 cm. When a few solid spherical metallic balls each of radius 1 half cm are dropped in the vessel, 25% water is overflowed. The number of balls is:

  • 100

  • 400

  • 200

  • 200

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94.

Thousand solid metallic spheres of diameter 6 cm are melted and recast into a new solid sphere. The diameter of the new sphere (in cm ) is

  • 30

  • 90

  • 45

  • 45

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95.

Radius cross section of a solid circular cylindrical rod is 3.2 dm. The rod is melted and 44 equal solid cubes of side 8 cm are formed. The length of the rod is left parenthesis Take space straight pi space equals space 22 over 7 right parenthesis

  • 56 cm

  • 7 cm

  • 5.6 cm

  • 5.6 cm

59 Views

96.

A right circular conical structure stands on a circular base of 21 m diameter and is 14 m in height. The total cost of colour washing for its curved surface at 6 per sq m is (Take straight pi space equals space 22 over 7

  • 4365

  • 4465

  • 3465

  • 3365

68 Views

97.

A solid sphere of radius 9 cm is melted to form a sphere of radius 6 cm and a right circular cylinder of same radius. The height of the cylinder so formed
is

  • 19 cm

  • 21 cm

  • 23 cm

  • 25 cm

153 Views

98.

The radius of a sphere and right circular cylinder is 'r'. Their volumes are equal. The ratio of the height and radius of the cylinder is

  • 3 : 1

  • 2 : 1

  • 3 : 2

  • 4 : 3

95 Views

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99.

The base area of a right pyramid is 57 sq units and height is 10 units. Then the volume of the pyramid is:

  • 190 c. units

  • 380 c. units

  • 540 c. units

  • 570 c. units


A.

190 c. units

Volume of pyramid:
                   equals space 1 third space cross times space Area space of space Base space cross times space Height
equals space 1 third space cross times space 57 space cross times space 10
equals space 190 space cubic space units

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100.

The volume of the largest sphere (in cm3) that can be drawn inside a cube of side 18 cm is

  • 972 space straight pi

  • 11664 space straight pi

  • 36 space straight pi

  • 288 space straight pi

61 Views

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