Volume and Surface Area Questions Practice Question and Answer

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:

If a chord of length 30 cm is at a distance of 8 cm from the center of the circle, then the length of the chord of the same circle which is at a distance of 15 cm from the center is equal to

1277 0

  • 1
    12 cm
    Correct
    Wrong
  • 2
    18 cm.
    Correct
    Wrong
  • 3
    16 cm
    Correct
    Wrong
  • 4
    20 cm.
    Correct
    Wrong
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Answer : 3. "16 cm"

Q:

The area of square field is $$ ({69696})^{2}$$. Its diagonal will be equal to (use √2 = 1.414) 

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  • 1
    313.296 m
    Correct
    Wrong
  • 2
    353.296 m
    Correct
    Wrong
  • 3
    373.296 m
    Correct
    Wrong
  • 4
    393.296 m
    Correct
    Wrong
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Answer : 3. "373.296 m "

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. "$$ {(\sqrt{2}-1)R}$$"

Q:

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

1254 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 ratio of the areas of two isosceles triangles having the same vertical angle is 1 : 9.The ratio of their heights is -

1243 0

  • 1
    1 : 3
    Correct
    Wrong
  • 2
    1 : 9
    Correct
    Wrong
  • 3
    3 : 1
    Correct
    Wrong
  • 4
    1 : 81
    Correct
    Wrong
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Answer : 1. "1 : 3"

Q:

How much parts of the pits, which are 48 meters long, 16.5 meters wide and 4 meters deep, can be filled in the soil, which is obtained by cylindrical tunnel of 4 meters diameter and 56 meters long?

1241 0

  • 1
    $$ {1\over 9}$$
    Correct
    Wrong
  • 2
    $$ {2\over 9}$$
    Correct
    Wrong
  • 3
    $$ {7\over 9}$$
    Correct
    Wrong
  • 4
    $$ {8\over 9}$$
    Correct
    Wrong
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Answer : 2. "$$ {2\over 9}$$"

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