Volume and Surface Area 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.

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  • 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:

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?

1376 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 areas of the three adjacent faces of a cuboid are 32 cm2, 24 cm2 and 48cm2. What is the volume of the cuboid?

1365 0

  • 1
    288 cm3
    Correct
    Wrong
  • 2
    256 cm3
    Correct
    Wrong
  • 3
    128 cm3
    Correct
    Wrong
  • 4
    192 cm3
    Correct
    Wrong
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Answer : 4. "192 cm3"

Q:

The radii of three concentric circles are in the ratio of 4 : 5 : 7. What is the ratio of the area between the two inner circles to that between the two outer circles?

1359 0

  • 1
    4 : 7
    Correct
    Wrong
  • 2
    3 : 8
    Correct
    Wrong
  • 3
    4 : 5
    Correct
    Wrong
  • 4
    5 : 9
    Correct
    Wrong
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Answer : 2. "3 : 8"

Q:

What is the area of an equilateral triangle having altitude equal to $$5\sqrt{3}$$cm.

1315 0

  • 1
    $$25\sqrt{3}$$
    Correct
    Wrong
  • 2
    $$45\sqrt{3}$$
    Correct
    Wrong
  • 3
    45
    Correct
    Wrong
  • 4
    40
    Correct
    Wrong
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Answer : 1. "$$25\sqrt{3}$$"

Q:

What will be the area of the curved surface of an elliptical cylinder whose height and diameter are 10 cm and 8 cm respectively?

1235 0

  • 1
    20 π
    Correct
    Wrong
  • 2
    168 π
    Correct
    Wrong
  • 3
    80 π
    Correct
    Wrong
  • 4
    40 π
    Correct
    Wrong
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Answer : 3. "80 π"

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