Volume and Surface Area Questions Practice Question and Answer

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

899 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 solid metallic cylinder of base radius 5 cm and height 7 cm is melted to form cones, each of height 1 cm and base radius 1 mm. Find the number of cones?

898 0

  • 1
    53500
    Correct
    Wrong
  • 2
    49500
    Correct
    Wrong
  • 3
    51500
    Correct
    Wrong
  • 4
    52500
    Correct
    Wrong
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Answer : 4. "52500"

Q:

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

896 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:

A cylindrical well of depth 21 m with internal radius of 13 m is dug up. The mud, so detained, is spread evenly to form a platform of dimension 52 × 13.2. What is the height of the platform?

893 0

  • 1
    62.5 m
    Correct
    Wrong
  • 2
    37.5 m
    Correct
    Wrong
  • 3
    13.4 m
    Correct
    Wrong
  • 4
    18.2 m
    Correct
    Wrong
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Answer : 2. "37.5 m"

Q:

If the perimeter of a triangle is 30 cm and the area is 30 square cm, if the length of the larger side is 13 cm, then what is the length of the shorter side?

892 0

  • 1
    4 cm
    Correct
    Wrong
  • 2
    6 cm
    Correct
    Wrong
  • 3
    5 cm
    Correct
    Wrong
  • 4
    10 cm
    Correct
    Wrong
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Answer : 3. "5 cm"

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?

891 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:

The total surface area of a hemisphere is 166.32 sq cm, find its radius? 

890 0

  • 1
    4.2 cm
    Correct
    Wrong
  • 2
    8.4 cm
    Correct
    Wrong
  • 3
    1.4 cm
    Correct
    Wrong
  • 4
    2.1 cm
    Correct
    Wrong
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Answer : 1. "4.2 cm"

Q:

A regular hexagon has a side of 4 cm. Find its area. (in sq. cm)

885 0

  • 1
    $$ {24\sqrt{3}}$$
    Correct
    Wrong
  • 2
    $$ {18\sqrt{3}}$$
    Correct
    Wrong
  • 3
    $$ {36\sqrt{3}}$$
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 1. "$$ {24\sqrt{3}}$$"

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