Volume and Surface Area Practice Question and Answer

Q:

In a circle of radius 17 cm, two parallel chords of lengths 30 cm. and 16 cm are drawn. If both the chords are on the same side of the center, then the distance between the chords is -

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  • 1
    7 cm.
    Correct
    Wrong
  • 2
    17 cm.
    Correct
    Wrong
  • 3
    9 cm.
    Correct
    Wrong
  • 4
    23 cm.
    Correct
    Wrong
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Answer : 1. "7 cm. "

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 :

1153 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:

A polygon has 9 sides, what is its interior angle?

1151 0

  • 1
    140 degree
    Correct
    Wrong
  • 2
    100 degree
    Correct
    Wrong
  • 3
    120 degree
    Correct
    Wrong
  • 4
    40 degree
    Correct
    Wrong
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Answer : 1. "140 degree"

Q:

A solid sphere of diameter 17.5 cm is cut into two equal halves. What will be the increase (in cm2) in the total surface area?

1149 0

  • 1
    289
    Correct
    Wrong
  • 2
    616
    Correct
    Wrong
  • 3
    962.56
    Correct
    Wrong
  • 4
    481.056
    Correct
    Wrong
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Answer : 4. "481.056"

Q:

The base of right prism is a trapezium whose parallel sides are 11 cm and 15 cm and the distance between them is 9 cm. If the volume of the prism is 1731.6 cm3, then the height (in cm) of the prism will be:

1147 0

  • 1
    15.2
    Correct
    Wrong
  • 2
    14.8
    Correct
    Wrong
  • 3
    15.6
    Correct
    Wrong
  • 4
    14.2
    Correct
    Wrong
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Answer : 2. "14.8"

Q:

In a triangle, ABC, P and Q are points on AB and AC, respectively, such that AP = 1 cm, PB = 3 cm, AQ = 1.5 cm, and CQ = 45 cm. If the area of ΔAPQ is 12 $${{cm^2}}$$, then find the area of BPQC.

1140 0

  • 1
    $${{192cm^2}}$$
    Correct
    Wrong
  • 2
    $${{182cm^2}}$$
    Correct
    Wrong
  • 3
    $${{190cm^2}}$$
    Correct
    Wrong
  • 4
    $${{180cm^2}}$$
    Correct
    Wrong
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Answer : 4. "$${{180cm^2}}$$"

Q:

A conical vessel of radius 6 cm and height 8 cm. is completely filled with water. A sphere is lowered into the water and its size is such that when it touches the sides, it is just immersed. The fraction of water that overflows is? 

1140 0

  • 1
    $$ {1\over 4}$$
    Correct
    Wrong
  • 2
    $$ {1\over 2}$$
    Correct
    Wrong
  • 3
    $$ {3\over 8}$$
    Correct
    Wrong
  • 4
    $$ {5\over 8}$$
    Correct
    Wrong
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Answer : 3. "$$ {3\over 8}$$"

Q:

A solid metallic cylinder of base radius 3 cm. and height 5 cm. is melted to form cones, each of height 1 cm. and base radius 1 mm. The number of cones is -

1137 0

  • 1
    12540
    Correct
    Wrong
  • 2
    13500
    Correct
    Wrong
  • 3
    24400
    Correct
    Wrong
  • 4
    11600
    Correct
    Wrong
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Answer : 2. "13500"

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