Volume and Surface Area Questions Practice Question and Answer

Q:

The ratio of the volume of right circular cylinder and a right circular cone of the same base and height will be:

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  • 1
    1:3
    Correct
    Wrong
  • 2
    2:3
    Correct
    Wrong
  • 3
    3:2
    Correct
    Wrong
  • 4
    3:1
    Correct
    Wrong
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Answer : 4. "3:1"

Q:

The length, breadth and height of a room is 21 metres, 12 metres and 16 metres. What will be the length of the largest rod that can be placed in that room?

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  • 1
    32 metres
    Correct
    Wrong
  • 2
    25 metres
    Correct
    Wrong
  • 3
    31 metres
    Correct
    Wrong
  • 4
    29 metres
    Correct
    Wrong
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Answer : 4. "29 metres"

Q:

If the areas of circular ring having inner and outer radius 8 cm and 12 cm respectively is equal to the total surface area of cylinder of radius Rand height h, then h in terms of R1 will be :

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  • 1
    $$ {40-R_1\over {R_1}}$$
    Correct
    Wrong
  • 2
    $$ {40-R_1\over {R_1^{2}}}$$
    Correct
    Wrong
  • 3
    $$ {40-R_1^{2}}\over R_1$$
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 3. "$$ {40-R_1^{2}}\over R_1$$"

Q:

A corner of a cube of side length 8 m. When cut by a plane which bisects the sides of the cube, we get a pyramid whose volume is : 

1157 1

  • 1
    8.37 m3
    Correct
    Wrong
  • 2
    10.67 m3
    Correct
    Wrong
  • 3
    11.20 m3
    Correct
    Wrong
  • 4
    9.68 m3
    Correct
    Wrong
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Answer : 2. "10.67 m3 "

Q:

The area of a triangle is 24 square cm. If one side of it is 4 cm, what will be the height of the triangle?

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  • 1
    15 cm
    Correct
    Wrong
  • 2
    18 cm
    Correct
    Wrong
  • 3
    24 cm
    Correct
    Wrong
  • 4
    12 cm
    Correct
    Wrong
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Answer : 4. "12 cm"

Q:

A right triangle with sides 5 cm, 12 cm and   13 cm is rotated about the side 12 cm to from a cone. The volume of the cone so formed is :

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  • 1
    $$ {81 π \ cm^{3}}$$
    Correct
    Wrong
  • 2
    $$ {100 π \ cm^{3}}$$
    Correct
    Wrong
  • 3
    $$ {91 π \ cm^{3}}$$
    Correct
    Wrong
  • 4
    $$ {110 π \ cm^{3}}$$
    Correct
    Wrong
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Answer : 2. "$$ {100 π \ cm^{3}}$$"

Q:

In a circle of radius 17 cm, two parallel chords of lengths 30 cm. and 16 cm are drawn. If both the chords are on the same side of the center, then the distance between the chords is -

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  • 1
    7 cm.
    Correct
    Wrong
  • 2
    17 cm.
    Correct
    Wrong
  • 3
    9 cm.
    Correct
    Wrong
  • 4
    23 cm.
    Correct
    Wrong
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Answer : 1. "7 cm. "

Q:

A polygon has 9 sides, what is its interior angle?

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  • 1
    140 degree
    Correct
    Wrong
  • 2
    100 degree
    Correct
    Wrong
  • 3
    120 degree
    Correct
    Wrong
  • 4
    40 degree
    Correct
    Wrong
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Answer : 1. "140 degree"

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