Volume and Surface Area Practice Question and Answer

Q:

The ratio between the volume (cm3) of a cylinder and the curved surface area (cm2) is numerically 14: 1. If the height of the cylinder is 50 cm, what is the volume of the cylinder (cm3) ?

826 0

  • 1
    61600
    Correct
    Wrong
  • 2
    92400
    Correct
    Wrong
  • 3
    123200
    Correct
    Wrong
  • 4
    184800
    Correct
    Wrong
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Answer : 3. "123200"

Q:

The edges of a cuboid are in the ratio 1 : 2: 3 and its surface area is  88 sq.cm. The volume of the cuboid is:

817 0

  • 1
    24
    Correct
    Wrong
  • 2
    48
    Correct
    Wrong
  • 3
    64
    Correct
    Wrong
  • 4
    120
    Correct
    Wrong
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Answer : 2. "48"

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.

816 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:

Two cones have their heights in the ratio 1:3 and the radii of their bases in the ratio 3:1. Find the ratio of their volumes?

815 0

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

Q:

A hollow copper pipe is 22 cm long and its external diameter is 28 cm. If the thickness of the pipe is 3 cm and iron weighs 8.5 g/cm3 , then the weight of the pipe is closest to:

813 0

  • 1
    34 kg
    Correct
    Wrong
  • 2
    44 kg
    Correct
    Wrong
  • 3
    14 kg
    Correct
    Wrong
  • 4
    24 kg
    Correct
    Wrong
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Answer : 2. "44 kg"

Q:

What is the total CSA of cone whose radius is 3 cm and height is 4 cm? 

811 0

  • 1
    $$ { 24 π cm^2}$$
    Correct
    Wrong
  • 2
    $$ { 25 π cm^2}$$
    Correct
    Wrong
  • 3
    $$ { 28 π cm^2}$$
    Correct
    Wrong
  • 4
    $$ { 20 π cm^2}$$
    Correct
    Wrong
  • 5
    None of these
    Correct
    Wrong
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Answer : 1. "$$ { 24 π cm^2}$$"

Q:

A right triangle with sides 5 cm, 12 cm and   13 cm is rotated about the side 12 cm to from a cone. The volume of the cone so formed is :

810 0

  • 1
    $$ {81 π \ cm^{3}}$$
    Correct
    Wrong
  • 2
    $$ {100 π \ cm^{3}}$$
    Correct
    Wrong
  • 3
    $$ {91 π \ cm^{3}}$$
    Correct
    Wrong
  • 4
    $$ {110 π \ cm^{3}}$$
    Correct
    Wrong
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Answer : 2. "$$ {100 π \ cm^{3}}$$"

Q:

The length, width and height of a cuboid are 18 cm, 24 cm, and 4 cm, respectively. The volume of the cube is equal to the volume of the given cuboid. The arm of the cube is:

808 0

  • 1
    16 cm
    Correct
    Wrong
  • 2
    12 cm
    Correct
    Wrong
  • 3
    9 cm
    Correct
    Wrong
  • 4
    8 cm
    Correct
    Wrong
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Answer : 2. "12 cm"

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