Volume and Surface Area Questions Practice Question and Answer

Q:

In the given figure, PQRS is square whose side is 8 cm. PQS and QPR are two quadrants. A circle is placed touching both the quadrants and the square as shown in the figure. What is the area ( in cm2 ) of the circle ?

1410 0

  • 1
    $$ {19\over 39}$$
    Correct
    Wrong
  • 2
    $$ {20\over 21}$$
    Correct
    Wrong
  • 3
    $$ {11\over 14}$$
    Correct
    Wrong
  • 4
    $$ {11\over 19}$$
    Correct
    Wrong
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Answer : 3. "$$ {11\over 14}$$"

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?

1399 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:

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. 

1389 0

  • 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_

1386 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:

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

1380 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:

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:

1375 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:

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

1373 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:

Find the area of a white sheet required to prepare a cone with a height of 21cm and the radius of 20cm.

1372 0

  • 1
    $$ {3080}cm^2$$
    Correct
    Wrong
  • 2
    $$ {2300}cm^2$$
    Correct
    Wrong
  • 3
    $$ {3460}cm^2$$
    Correct
    Wrong
  • 4
    $$ {3600}cm^2$$
    Correct
    Wrong
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Answer : 1. "$$ {3080}cm^2$$"

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