Volume and Surface Area Practice Question and Answer

Q:

The total surface area of a hemisphere is 166.32 sq cm, find its radius? 

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  • 1
    4.2 cm
    Correct
    Wrong
  • 2
    8.4 cm
    Correct
    Wrong
  • 3
    1.4 cm
    Correct
    Wrong
  • 4
    2.1 cm
    Correct
    Wrong
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Answer : 1. "4.2 cm"

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-

1340 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:

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

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  • 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 total surface area of a cube is 864 square cm. What will be its volume?

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  • 1
    216
    Correct
    Wrong
  • 2
    1728
    Correct
    Wrong
  • 3
    729
    Correct
    Wrong
  • 4
    512
    Correct
    Wrong
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Answer : 2. "1728"

Q:

Base of a right pyramid is a square. The length of diagonal of the base is $$ {12\sqrt{2}}$$ cm. If each lateral surface of the pyramid is an equilateral triangle, then its volume (in cu.cm) is

1338 0

  • 1
    $$ {288\sqrt{3}}$$
    Correct
    Wrong
  • 2
    $$ {208\sqrt{2}}$$
    Correct
    Wrong
  • 3
    $$ {288\sqrt{2}}$$
    Correct
    Wrong
  • 4
    288
    Correct
    Wrong
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Answer : 1. "$$ {288\sqrt{3}}$$"

Q:

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

1337 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 bisector of ∠B in ΔABC meets AC at D. If AB=10 cm and BC=11 cm and AC=14 cm, then the length of AD is:

1334 0

  • 1
    $$ {20\over3}$$
    Correct
    Wrong
  • 2
    22
    Correct
    Wrong
  • 3
    $$ {22\over3}$$
    Correct
    Wrong
  • 4
    20
    Correct
    Wrong
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Answer : 1. "$$ {20\over3}$$"

Q:

A hollow copper pipe is 22 cm long and its external diameter is 28 cm. If the thickness of the pipe is 3 cm and iron weighs 8.5 g/cm3 , then the weight of the pipe is closest to:

1328 0

  • 1
    34 kg
    Correct
    Wrong
  • 2
    44 kg
    Correct
    Wrong
  • 3
    14 kg
    Correct
    Wrong
  • 4
    24 kg
    Correct
    Wrong
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Answer : 2. "44 kg"

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