Volume and Surface Area Questions Practice Question and Answer

Q:

The diameter of a circle is equal to the perimeter of a square whose area is 3136 sq cm. What is the circumference of the circle?

748 0

  • 1
    352 cm
    Correct
    Wrong
  • 2
    704 cm
    Correct
    Wrong
  • 3
    394 cm
    Correct
    Wrong
  • 4
    Cannot be determined
    Correct
    Wrong
  • 5
    None of these
    Correct
    Wrong
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Answer : 2. "704 cm"

Q:

The curved surface area of a cylindrical pillar is $$ {264 m^{2}}$$ and its volume is $$ {924 m^{3}}$$. Find the ratio of its diameter to its height.

550 0

  • 1
    3 : 7
    Correct
    Wrong
  • 2
    7 : 3
    Correct
    Wrong
  • 3
    6 : 7
    Correct
    Wrong
  • 4
    7 : 6
    Correct
    Wrong
  • 5
    5 : 4
    Correct
    Wrong
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Answer : 2. "7 : 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:

543 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:

The total Surface area of a solid hemisphere is 1039.5 cm2. The volume ( in cm3) of the hemisphere is: (Take π=22/7)

615 0

  • 1
    2425.5
    Correct
    Wrong
  • 2
    2530.6
    Correct
    Wrong
  • 3
    2525.6
    Correct
    Wrong
  • 4
    2225.5
    Correct
    Wrong
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Answer : 1. "2425.5"

Q:

A solid metallic sphere of radius x cm is melted and then drawn into 126 cones each of radius 3.5 cm and height 3 cm. There is no wastage of material in this process. What is the value of x?

1447 0

  • 1
    10.5
    Correct
    Wrong
  • 2
    3.5
    Correct
    Wrong
  • 3
    7
    Correct
    Wrong
  • 4
    21
    Correct
    Wrong
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Answer : 1. "10.5"

Q:

A circular park whose diameter is 210 m has a 5 m wide path running around it(on the outside). What is the area ( in m2) of the path?

606 0

  • 1
    1020 π
    Correct
    Wrong
  • 2
    1075 π
    Correct
    Wrong
  • 3
    1050 π
    Correct
    Wrong
  • 4
    1100 π
    Correct
    Wrong
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Answer : 2. "1075 π"

Q:

The area of a triangle is 24 square cm. If one side of it is 4 cm, what will be the height of the triangle?

706 0

  • 1
    15 cm
    Correct
    Wrong
  • 2
    18 cm
    Correct
    Wrong
  • 3
    24 cm
    Correct
    Wrong
  • 4
    12 cm
    Correct
    Wrong
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Answer : 4. "12 cm"

Q:

If a side of a square is a, then what will be the area of the square on its diagonal?

602 0

  • 1
    $$ {\sqrt{2}a^{2}}$$
    Correct
    Wrong
  • 2
    $$ {{2}a^{2}}$$
    Correct
    Wrong
  • 3
    $$ {{5}a^{2}}$$
    Correct
    Wrong
  • 4
    $$ {a^{2}}$$
    Correct
    Wrong
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Answer : 2. "$$ {{2}a^{2}}$$"

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