Volume and Surface Area Practice Question and Answer

Q:

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

1214 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:

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.

1209 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:

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:

1206 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:

A spherical ball of lead 3 cm in diameter is melted and recast into three spherical balls The diameter of two of these are 1.5 cm and 2 cm respectively. The diameter of the third ball is 

1205 0

  • 1
    1.4 cm
    Correct
    Wrong
  • 2
    1.8 cm
    Correct
    Wrong
  • 3
    2.1 cm
    Correct
    Wrong
  • 4
    2.5 cm
    Correct
    Wrong
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Answer : 4. "2.5 cm"

Q:

If the height of a perpendicular cylinder is 10 cm and its curved surface area is 440 square cm, what is its radius?

1205 0

  • 1
    17.5 cm
    Correct
    Wrong
  • 2
    10.5 cm
    Correct
    Wrong
  • 3
    14 cm
    Correct
    Wrong
  • 4
    7 cm
    Correct
    Wrong
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Answer : 4. "7 cm"

Q:

What is the area of a rectangle , if its diagonal s 61 cm and one of its sides is 11 cm ? 

1201 0

  • 1
    $$ 660cm^2$$
    Correct
    Wrong
  • 2
    $$ 720cm^2$$
    Correct
    Wrong
  • 3
    $$ 616cm^2$$
    Correct
    Wrong
  • 4
    $$ 633cm^2$$
    Correct
    Wrong
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Answer : 1. "$$ 660cm^2$$"

Q:

A conical vessel whose internal radius is 12 cm and height 50 cm. is full of liquid. The contents are emptied into a cylindrical vessel with radius (internal) 10 cm. The height to which the liquid rises in the cylindrical vessel is-

1201 0

  • 1
    25 cm
    Correct
    Wrong
  • 2
    20 cm
    Correct
    Wrong
  • 3
    24 cm
    Correct
    Wrong
  • 4
    22 cm
    Correct
    Wrong
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Answer : 3. "24 cm"

Q:

If the curved surface area of a right circular cone is 10010 sq cm and its slant height is 91 cm, find its total surface area.

1198 0

  • 1
    27720 sq cm
    Correct
    Wrong
  • 2
    4620 sq cm
    Correct
    Wrong
  • 3
    6930 sq cm
    Correct
    Wrong
  • 4
    13860 sq cm
    Correct
    Wrong
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Answer : 4. "13860 sq cm"

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