Volume and Surface Area Questions Practice Question and Answer

Q:

Area of a rectangle is equal to the area of a circle whose radius is 14 cm. If the breadth of the rectangle is 22 cm, what is its length?

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  • 1
    24 cm
    Correct
    Wrong
  • 2
    28 cm
    Correct
    Wrong
  • 3
    26 cm
    Correct
    Wrong
  • 4
    Cannot be determined
    Correct
    Wrong
  • 5
    None of these
    Correct
    Wrong
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Answer : 2. "28 cm"

Q:

A hollow iron pipe is 21 cm long and its exterior diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weights $$ 8 g/cm^3 $$, then the weight of the pipe ($$ π= {22\over7}$$) is. 

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  • 1
    3.696 kg
    Correct
    Wrong
  • 2
    3.6 kg
    Correct
    Wrong
  • 3
    36 kg
    Correct
    Wrong
  • 4
    36.9 kg
    Correct
    Wrong
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Answer : 1. "3.696 kg "

Q:

A right circular cylinder is formed by rolling a rectangular sheet of metal of length 44 cm and breath 20 cm along its length. The volume of cylinder is_

1466 0

  • 1
    3080
    Correct
    Wrong
  • 2
    4090
    Correct
    Wrong
  • 3
    4095
    Correct
    Wrong
  • 4
    5000
    Correct
    Wrong
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Answer : 1. "3080 "

Q:

A field roller, in the shape of a cylinder, has a diameter of 1 meter and length of $$ {1}{1\over4}$$ meter. If the speed at which the roller rolls is 14 revolutions per minute, then the maximum area ( in m2) that it can roll in 1 hour is:

1461 0

  • 1
    3600
    Correct
    Wrong
  • 2
    3560
    Correct
    Wrong
  • 3
    3960
    Correct
    Wrong
  • 4
    3300
    Correct
    Wrong
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Answer : 4. "3300"

Q:

An iron pipe 20 cm long has exterior diameter 25 cm. If the thickness of the pipe is 1 cm, then the whole surface area of the pipe?

1453 0

  • 1
    $$ {3168\ cm^{2}}$$
    Correct
    Wrong
  • 2
    $$ {3186\ cm^{2}}$$
    Correct
    Wrong
  • 3
    $$ {3200\ cm^{2}}$$
    Correct
    Wrong
  • 4
    $$ {3150\ cm^{2}}$$
    Correct
    Wrong
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Answer : 1. "$$ {3168\ cm^{2}}$$"

Q:

Find the area of triangle whose medians are 8 cm, 15 cm and 17 cm respectively?

1451 0

  • 1
    $$20 cm^2$$
    Correct
    Wrong
  • 2
    $$15 cm^2$$
    Correct
    Wrong
  • 3
    $$24 cm^2$$
    Correct
    Wrong
  • 4
    $$28 cm^2$$
    Correct
    Wrong
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Answer : 1. "$$20 cm^2$$"

Q:

The length of the diagonal of a square is 'a' cm. Which of the following represents the area of the square (in sq. cm)? 

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  • 1
    2a
    Correct
    Wrong
  • 2
    a\√2
    Correct
    Wrong
  • 3
    $$a^2\2$$
    Correct
    Wrong
  • 4
    $$a2\4$$
    Correct
    Wrong
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Answer : 3. "$$a^2\2$$"

Q:

In the given figure if each of the outer circles have radii ‘R’, then the radius of the inner circle will be:

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  • 1
    $$ {2\over ({\sqrt{2}+1})R}$$
    Correct
    Wrong
  • 2
    $$ {1\over {\sqrt{2}}}R$$
    Correct
    Wrong
  • 3
    $$ {(\sqrt{2}-1)R}$$
    Correct
    Wrong
  • 4
    $$ {\sqrt{2}R}$$
    Correct
    Wrong
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Answer : 3. "$$ {(\sqrt{2}-1)R}$$"

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