Volume and Surface Area Questions Practice Question and Answer

Q:

Find the area of the shaded region if the radius of each of the circle is 1 cm.

1740 1

  • 1
    $$ 2-{π\over3}$$
    Correct
    Wrong
  • 2
    $$ \sqrt{3}-{π\over2}$$
    Correct
    Wrong
  • 3
    $$ \sqrt{3}-{π}$$
    Correct
    Wrong
  • 4
    $$ \sqrt{3}-{π\over4}$$
    Correct
    Wrong
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Answer : 1. "$$ 2-{π\over3}$$"

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?

1614 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:

From a solid cylinder whose height is 12 cm and diameter 10 cm a conical cavity of same height and same diameter of the base is hollowed out. The volume of the remaining solid is (cm3)approximately .Π=22/7

1589 0

  • 1
    942.86
    Correct
    Wrong
  • 2
    477.45
    Correct
    Wrong
  • 3
    628.57
    Correct
    Wrong
  • 4
    450.76
    Correct
    Wrong
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Answer : 3. "628.57"

Q:

The diameter of a wheel is 14 cm. How many rotations will it take to cover a distance of 44 kilometres?

1489 0

  • 1
    44,000
    Correct
    Wrong
  • 2
    88,000
    Correct
    Wrong
  • 3
    70,000
    Correct
    Wrong
  • 4
    100000
    Correct
    Wrong
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Answer : 4. "100000"

Q:

In the given figure, two squares shown in the figure have the arm of 12 cm and 8 cm. then find out the area of shaded part?

1458 0

  • 1
    19.2
    Correct
    Wrong
  • 2
    18.3
    Correct
    Wrong
  • 3
    19.6
    Correct
    Wrong
  • 4
    19.8
    Correct
    Wrong
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Answer : 1. "19.2"

Q:

If a cube whose side is 7.5 cm, what will be its volume?

1421 0

  • 1
    $$ {421.875\ cm^{3}}$$
    Correct
    Wrong
  • 2
    $$ {759.375\ cm^{3}}$$
    Correct
    Wrong
  • 3
    $$ {631.810\ cm^{3}}$$
    Correct
    Wrong
  • 4
    $$ {210.94\ cm^{3}}$$
    Correct
    Wrong
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Answer : 1. "$$ {421.875\ cm^{3}}$$ "

Q:

A field is in the form of an equilateral triangle of side 100 m. A horse is tied to a vertex of the field, with a 15 m long rope. Over what area can the horse graze? 

1418 0

  • 1
    117.85 m²
    Correct
    Wrong
  • 2
    119.85 m²
    Correct
    Wrong
  • 3
    117.35 m²
    Correct
    Wrong
  • 4
    119.35 m2
    Correct
    Wrong
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Answer : 1. "117.85 m² "

Q:

The ratio of the radii of two wheels is 3: 4, then the ratio of their circumferences will be.

1402 0

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

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