Volume and Surface Area Practice Question and Answer

Q:

A solid metallic cylinder of base radius 3 cm. and height 5 cm. is melted to form cones, each of height 1 cm. and base radius 1 mm. The number of cones is -

887 0

  • 1
    12540
    Correct
    Wrong
  • 2
    13500
    Correct
    Wrong
  • 3
    24400
    Correct
    Wrong
  • 4
    11600
    Correct
    Wrong
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Answer : 2. "13500"

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 :

849 0

  • 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:

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

889 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 radii of three concentric circles are in the ratio of 4 : 5 : 7. What is the ratio of the area between the two inner circles to that between the two outer circles?

737 0

  • 1
    4 : 7
    Correct
    Wrong
  • 2
    3 : 8
    Correct
    Wrong
  • 3
    4 : 5
    Correct
    Wrong
  • 4
    5 : 9
    Correct
    Wrong
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Answer : 2. "3 : 8"

Q:

The diagonal of a square is equal to the side of an equilateral triangle. If the area of the square is $$ {18\sqrt{3}}$$ sq.cm. What is the area (in cm2) of the equilateral triangle ?

755 0

  • 1
    $$ {54\sqrt{2}}$$
    Correct
    Wrong
  • 2
    $$ {27\sqrt{2}}$$
    Correct
    Wrong
  • 3
    54
    Correct
    Wrong
  • 4
    27
    Correct
    Wrong
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Answer : 4. "27"

Q:

The diagonal of a square is 14 cm. What will be the length of the diagonal of the square whose area is double of the area of first square?

717 0

  • 1
    $$ {28\sqrt{2}{\ cm}}$$
    Correct
    Wrong
  • 2
    $$ {14\sqrt{2}{\ cm}}$$
    Correct
    Wrong
  • 3
    28
    Correct
    Wrong
  • 4
    $$ {21\sqrt{2}{\ cm}}$$
    Correct
    Wrong
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Answer : 2. "$$ {14\sqrt{2}{\ cm}}$$"

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 -

794 0

  • 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:

If the ratio of the areas of two similar triangle ABC and DEF is 36:81 and EF = 6.9 cm., then BC is equal to –

754 0

  • 1
    4.6 cm.
    Correct
    Wrong
  • 2
    6.4 cm.
    Correct
    Wrong
  • 3
    4 cm.
    Correct
    Wrong
  • 4
    6 cm.
    Correct
    Wrong
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Answer : 1. "4.6 cm. "

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