Volume and Surface Area Practice Question and Answer

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 -

777 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:

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?

775 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. "$$ {2\over 9}$$"

Q:

Base of a right pyramid is a square. The length of diagonal of the base is $$ {12\sqrt{2}}$$ cm. If each lateral surface of the pyramid is an equilateral triangle, then its volume (in cu.cm) is

774 0

  • 1
    $$ {288\sqrt{3}}$$
    Correct
    Wrong
  • 2
    $$ {208\sqrt{2}}$$
    Correct
    Wrong
  • 3
    $$ {288\sqrt{2}}$$
    Correct
    Wrong
  • 4
    288
    Correct
    Wrong
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Answer : 1. "$$ {288\sqrt{3}}$$"

Q:

The volume of a solid right circular cone is 600 π cm3, and the diameter of its base is 30 cm. The total surface area (in cm2) of the cone is:

773 0

  • 1
    480 π
    Correct
    Wrong
  • 2
    255 π
    Correct
    Wrong
  • 3
    472 π
    Correct
    Wrong
  • 4
    496 π
    Correct
    Wrong
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Answer : 1. "480 π"

Q:

What is the area of an equilateral triangle having altitude equal to $$5\sqrt{3}$$cm.

772 0

  • 1
    $$25\sqrt{3}$$
    Correct
    Wrong
  • 2
    $$45\sqrt{3}$$
    Correct
    Wrong
  • 3
    45
    Correct
    Wrong
  • 4
    40
    Correct
    Wrong
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Answer : 1. "$$25\sqrt{3}$$"

Q:

42 cm a circular wire of diameter is folded into a rectangle whose sides are in the ratio 6: 5. What will be the area of the rectangle?

770 0

  • 1
    900 sq. cm.
    Correct
    Wrong
  • 2
    1080 sq. cm.
    Correct
    Wrong
  • 3
    1000 sq cm
    Correct
    Wrong
  • 4
    4320 sq. cm.
    Correct
    Wrong
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Answer : 2. "1080 sq. cm."

Q:

From a circle of radius a, a sector, which subtend an angle π/5 at the centre has been cut off. The perimeter of the remaining part of the circle is

766 0

  • 1
    2πa
    Correct
    Wrong
  • 2
    $$ {π\over 5}{a}$$
    Correct
    Wrong
  • 3
    $$ {7π\over 5}{a}$$
    Correct
    Wrong
  • 4
    $$ {9π\over 5}{a}$$
    Correct
    Wrong
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Answer : 4. "$$ {9π\over 5}{a}$$"

Q:

A conical vessel whose internal radius is 12 cm and height 50 cm. is full of liquid. The contents are emptied into a cylindrical vessel with radius (internal) 10 cm. The height to which the liquid rises in the cylindrical vessel is-

764 0

  • 1
    25 cm
    Correct
    Wrong
  • 2
    20 cm
    Correct
    Wrong
  • 3
    24 cm
    Correct
    Wrong
  • 4
    22 cm
    Correct
    Wrong
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Answer : 3. "24 cm"

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