Volume and Surface Area Questions Practice Question and Answer

Q:

The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.

692 0

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

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?

691 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:

The radius of a cone is 20 cm and height is 21 cm, the total surface area of the cone is in square cm:

679 0

  • 1
    3080
    Correct
    Wrong
  • 2
    3160
    Correct
    Wrong
  • 3
    2920
    Correct
    Wrong
  • 4
    3240
    Correct
    Wrong
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Answer : 1. "3080"
Explanation :

$$ {πr^2+πrl}$$


Q:

In a circle, difference between the circumference and radius is 37 cm. Find the area (in cm²) of the circle?

675 0

  • 1
    616
    Correct
    Wrong
  • 2
    154
    Correct
    Wrong
  • 3
    308
    Correct
    Wrong
  • 4
    77
    Correct
    Wrong
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Answer : 2. "154 "

Q:

What is the area ( in cm2 ) of the circumcircle of a triangle whose sides are 6 cm , 8 cm and 10 cm respectively ? 

669 0

  • 1
    $$ {275\over 7}$$
    Correct
    Wrong
  • 2
    $$ {2200\over 7}$$
    Correct
    Wrong
  • 3
    $$ {550\over 7}$$
    Correct
    Wrong
  • 4
    $$ {1100\over 7}$$
    Correct
    Wrong
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Answer : 3. "$$ {550\over 7}$$"

Q:

A right circular cone of largest volume is cut out from a solid wooden hemisphere. The remaining material is what percentage of the volume of the original hemisphere?

667 0

  • 1
    50 %
    Correct
    Wrong
  • 2
    $$ {33{1\over3}}{ \%}$$
    Correct
    Wrong
  • 3
    75 %
    Correct
    Wrong
  • 4
    $$ {66{2\over3}}{ \%}$$
    Correct
    Wrong
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Answer : 1. "50 %"

Q:

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

595 0

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

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?

594 0

  • 1
    352 cm
    Correct
    Wrong
  • 2
    704 cm
    Correct
    Wrong
  • 3
    394 cm
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 2. "704 cm"

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