Volume and Surface Area Questions Practice Question and Answer

Q:

The total Surface area of a solid hemisphere is 1039.5 cm2. The volume ( in cm3) of the hemisphere is: (Take π=22/7)

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  • 1
    2425.5
    Correct
    Wrong
  • 2
    2530.6
    Correct
    Wrong
  • 3
    2525.6
    Correct
    Wrong
  • 4
    2225.5
    Correct
    Wrong
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Answer : 1. "2425.5"

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-

1183 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:

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

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  • 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:

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.

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  • 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"

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 

1182 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:

The slant height of a right circular cone is 15 m and its height is 9 m. The area of its curved surface, is:

1177 0

  • 1
    169 π m2
    Correct
    Wrong
  • 2
    172 π m2
    Correct
    Wrong
  • 3
    165 π m2
    Correct
    Wrong
  • 4
    180 π m2
    Correct
    Wrong
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Answer : 4. "180 π m2"

Q:

The measure of a cuboid warehouse is (8 m x 6 m x 3 m). If each sack covers 0.48 cubic meters of space, how many maximum sacks can be kept in it?

1176 0

  • 1
    221
    Correct
    Wrong
  • 2
    300
    Correct
    Wrong
  • 3
    320
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 2. "300"

Q:

If a side of a square is a, then what will be the area of the square on its diagonal?

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  • 1
    $$ {\sqrt{2}a^{2}}$$
    Correct
    Wrong
  • 2
    $$ {{2}a^{2}}$$
    Correct
    Wrong
  • 3
    $$ {{5}a^{2}}$$
    Correct
    Wrong
  • 4
    $$ {a^{2}}$$
    Correct
    Wrong
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Answer : 2. "$$ {{2}a^{2}}$$"

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