Volume and Surface Area Practice Question and Answer

Q:

A circular park whose diameter is 210 m has a 5 m wide path running around it(on the outside). What is the area ( in m2) of the path?

1087 0

  • 1
    1020 π
    Correct
    Wrong
  • 2
    1075 π
    Correct
    Wrong
  • 3
    1050 π
    Correct
    Wrong
  • 4
    1100 π
    Correct
    Wrong
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Answer : 2. "1075 π"

Q:

The slant height of a right circular cone is 15 m and its height is 9 m. The area of its curved surface, is:

1076 0

  • 1
    169 π m2
    Correct
    Wrong
  • 2
    172 π m2
    Correct
    Wrong
  • 3
    165 π m2
    Correct
    Wrong
  • 4
    180 π m2
    Correct
    Wrong
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Answer : 4. "180 π m2"

Q:

The perimeter of an isosceles, right angled triangle is 2p unit. The area of the same triangle is

1076 0

  • 1
    $$ {(3-2\sqrt{2})}{\ p^{2}} sq.unit $$
    Correct
    Wrong
  • 2
    $$ {(2+\sqrt{2})}{\ p^{2}} sq.unit $$
    Correct
    Wrong
  • 3
    $$ {(2-\sqrt{2})}{\ p^{2}} sq.unit $$
    Correct
    Wrong
  • 4
    $$ {(3-\sqrt{2})}{\ p^{2}} sq.unit $$
    Correct
    Wrong
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Answer : 1. "$$ {(3-2\sqrt{2})}{\ p^{2}} sq.unit $$"

Q:

A spherical ball of lead 3 cm in diameter is melted and recast into three spherical balls The diameter of two of these are 1.5 cm and 2 cm respectively. The diameter of the third ball is 

1076 0

  • 1
    1.4 cm
    Correct
    Wrong
  • 2
    1.8 cm
    Correct
    Wrong
  • 3
    2.1 cm
    Correct
    Wrong
  • 4
    2.5 cm
    Correct
    Wrong
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Answer : 4. "2.5 cm"

Q:

The length, width and height of a cuboid are 18 cm, 24 cm, and 4 cm, respectively. The volume of the cube is equal to the volume of the given cuboid. The arm of the cube is:

1073 0

  • 1
    16 cm
    Correct
    Wrong
  • 2
    12 cm
    Correct
    Wrong
  • 3
    9 cm
    Correct
    Wrong
  • 4
    8 cm
    Correct
    Wrong
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Answer : 2. "12 cm"

Q:

The figure below is an equilateral triangle with sides of length 6. What is the area of the triangle?

1071 0

  • 1
    $$ {9\sqrt{3}:1}$$
    Correct
    Wrong
  • 2
    16
    Correct
    Wrong
  • 3
    18
    Correct
    Wrong
  • 4
    $$ {12\sqrt{3}:1}$$
    Correct
    Wrong
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Answer : 1. "$$ {9\sqrt{3}:1}$$"

Q:

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.

1070 0

  • 1
    27720 sq cm
    Correct
    Wrong
  • 2
    4620 sq cm
    Correct
    Wrong
  • 3
    6930 sq cm
    Correct
    Wrong
  • 4
    13860 sq cm
    Correct
    Wrong
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Answer : 4. "13860 sq cm"

Q:

What will be the area (cm2) of the curved surface of an elliptical cylinder whose height and diameter are 10 cm and 8 cm respectively?

1069 0

  • 1
    20 π
    Correct
    Wrong
  • 2
    80 π
    Correct
    Wrong
  • 3
    160 π
    Correct
    Wrong
  • 4
    40 π
    Correct
    Wrong
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Answer : 2. "80 π"

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