Volume and Surface Area Questions Practice Question and Answer

Q:

If the height and the radius of the base of a cone are both doubled, the volume of the cone becomes _______ of its previous volume.

1466 0

  • 1
    4 times
    Correct
    Wrong
  • 2
    8 times
    Correct
    Wrong
  • 3
    3 times
    Correct
    Wrong
  • 4
    6 times
    Correct
    Wrong
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Answer : 2. "8 times"

Q:

There is a circular garden of radius 21 metres. A path of width 3.5 metres is constructed just outside the garden. What is the area (in metres) of the path? 

1466 0

  • 1
    500.50
    Correct
    Wrong
  • 2
    575.60
    Correct
    Wrong
  • 3
    521.20
    Correct
    Wrong
  • 4
    560.70
    Correct
    Wrong
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Answer : 1. "500.50 "

Q:

If the ratio of the areas of two similar triangle ABC and DEF is 36:81 and EF = 6.9 cm., then BC is equal to –

1463 0

  • 1
    4.6 cm.
    Correct
    Wrong
  • 2
    6.4 cm.
    Correct
    Wrong
  • 3
    4 cm.
    Correct
    Wrong
  • 4
    6 cm.
    Correct
    Wrong
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Answer : 1. "4.6 cm. "

Q:

What will be the area (cm2) of the curved surface of an elliptical cylinder whose height and diameter are 10 cm and 8 cm respectively?

1460 0

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

Q:

A conical vessel whose internal base radius is 18 cm and height 60 cm is full of a liquid. The entire liquid of the vessel is emptied into a cylindrical vessel with internal radius 15 cm. The height (in cm) to which the liquid rises in the cylindrical vessel is:

1453 0

  • 1
    30.2 cm
    Correct
    Wrong
  • 2
    28.8 cm
    Correct
    Wrong
  • 3
    27 cm
    Correct
    Wrong
  • 4
    24 cm
    Correct
    Wrong
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Answer : 2. "28.8 cm"

Q:

A square and an equilateral triangle are of the same perimeter. If the diagonal of the square is $$ {12\sqrt{2}}$$ cm long, then the area of the triangle is.

1449 0

  • 1
    $$ {32\sqrt{3}}$$
    Correct
    Wrong
  • 2
    $$ {64\sqrt{3}}$$
    Correct
    Wrong
  • 3
    $$ {64\sqrt{2}}$$
    Correct
    Wrong
  • 4
    $$ {48\sqrt{3}}$$
    Correct
    Wrong
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Answer : 2. "$$ {64\sqrt{3}}$$"

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) ?

1445 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 volume of a solid right circular cylinder is 5236 cm3, and its height is 34 cm. What is its curved surface area (in cm2)?

1437 0

  • 1
    1496
    Correct
    Wrong
  • 2
    1573
    Correct
    Wrong
  • 3
    1650
    Correct
    Wrong
  • 4
    1804
    Correct
    Wrong
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Answer : 1. "1496"

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