Volume and Surface Area Questions Practice Question and Answer

Q:

The ratio of Volume of two spheres A and B is 8 : 1. The Surface Area of Sphere B is 616 cm2. Find the radius of sphere A.

792 0

  • 1
    14 cm
    Correct
    Wrong
  • 2
    16 cm
    Correct
    Wrong
  • 3
    10 cm
    Correct
    Wrong
  • 4
    12 cm
    Correct
    Wrong
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Answer : 1. "14 cm "

Q:

The perimeter of an isosceles, right angled triangle is 2p unit. The area of the same triangle is

791 0

  • 1
    $$ {(3-2\sqrt{2})}{\ p^{2}} sq.unit $$
    Correct
    Wrong
  • 2
    $$ {(2+\sqrt{2})}{\ p^{2}} sq.unit $$
    Correct
    Wrong
  • 3
    $$ {(2-\sqrt{2})}{\ p^{2}} sq.unit $$
    Correct
    Wrong
  • 4
    $$ {(3-\sqrt{2})}{\ p^{2}} sq.unit $$
    Correct
    Wrong
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Answer : 1. "$$ {(3-2\sqrt{2})}{\ p^{2}} sq.unit $$"

Q:

The vertices of the 1 cm side are cut from each corner of a square with a side of 4.5 cm. Find the circumference and area of the octagon formed?

789 0

  • 1
    $$ {5\sqrt{2}}{\ cm};{18.25{\ cm^{2}}}$$
    Correct
    Wrong
  • 2
    $$ {(5+4\sqrt{2})}{\ cm}; {18.25 \ cm^{2}}$$
    Correct
    Wrong
  • 3
    $$ {(10+4\sqrt{2})}{\ cm}; {18.25 \ cm^{2}}$$
    Correct
    Wrong
  • 4
    16 cm and 16 sq.cm
    Correct
    Wrong
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Answer : 3. "$$ {(10+4\sqrt{2})}{\ cm}; {18.25 \ cm^{2}}$$"

Q:

The figure below is an equilateral triangle with sides of length 6. What is the area of the triangle?

789 0

  • 1
    $$ {9\sqrt{3}:1}$$
    Correct
    Wrong
  • 2
    16
    Correct
    Wrong
  • 3
    18
    Correct
    Wrong
  • 4
    $$ {12\sqrt{3}:1}$$
    Correct
    Wrong
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Answer : 1. "$$ {9\sqrt{3}:1}$$"

Q:

The covered surface area of  a cone of radius 8 cm and height 6 cm is double the covered surface area of a cylinder of radius 4 cm. Find the height of the cylinder?

783 0

  • 1
    5 cm
    Correct
    Wrong
  • 2
    8 cm
    Correct
    Wrong
  • 3
    10 cm
    Correct
    Wrong
  • 4
    12 cm
    Correct
    Wrong
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Answer : 1. "5 cm"

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Answer : 4. "4 : 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?

781 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:

50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is $$ {4 m^{3}}$$ , then the rise in the water level in the tank will be:

778 0

  • 1
    20 cm
    Correct
    Wrong
  • 2
    50 cm
    Correct
    Wrong
  • 3
    35 cm
    Correct
    Wrong
  • 4
    25 cm
    Correct
    Wrong
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Answer : 4. "25 cm"

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