Volume and Surface Area Practice Question and Answer

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? 

1537 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:

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

1534 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 area  of a circle is 616 sq cm, find its circumference?

1533 0

  • 1
    44 cm
    Correct
    Wrong
  • 2
    88 cm
    Correct
    Wrong
  • 3
    22 cm
    Correct
    Wrong
  • 4
    176 cm
    Correct
    Wrong
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Answer : 2. "88 cm"

Q:

The height of a square base right prism is 15 cm. If the total surface area of the prism is 608 cm2 , then what will be the volume of prism?

1526 0

  • 1
    950 cm3
    Correct
    Wrong
  • 2
    970 cm3
    Correct
    Wrong
  • 3
    960 cm3
    Correct
    Wrong
  • 4
    940 cm3
    Correct
    Wrong
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Answer : 3. "960 cm3"

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-

1523 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 area of a triangle is 616 square cm, then its perimeter will be-

1522 0

  • 1
    88 cm
    Correct
    Wrong
  • 2
    44 cm
    Correct
    Wrong
  • 3
    132 cm
    Correct
    Wrong
  • 4
    161 cm
    Correct
    Wrong
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Answer : 1. "88 cm "

Q:

The ratio of Volume of two spheres A and B is 8 : 1. The Surface Area of Sphere B is 616 cm2. Find the radius of sphere A.

1520 0

  • 1
    14 cm
    Correct
    Wrong
  • 2
    16 cm
    Correct
    Wrong
  • 3
    10 cm
    Correct
    Wrong
  • 4
    12 cm
    Correct
    Wrong
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Answer : 1. "14 cm "

Q:

The edges of a cuboid are in the ratio 1 : 2: 3 and its surface area is  88 sq.cm. The volume of the cuboid is:

1514 0

  • 1
    24
    Correct
    Wrong
  • 2
    48
    Correct
    Wrong
  • 3
    64
    Correct
    Wrong
  • 4
    120
    Correct
    Wrong
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Answer : 2. "48"

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