Volume and Surface Area Practice Question and Answer

Q:

The heights of a cone, cylinder and hemisphere are equal. If their radii are in the ratio 2:3:1, then the ratio of their volumes is:

1191 0

  • 1
    2:9:2
    Correct
    Wrong
  • 2
    4:9:1
    Correct
    Wrong
  • 3
    4: 27:2
    Correct
    Wrong
  • 4
    2 : 3: 1
    Correct
    Wrong
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Answer : 3. "4: 27:2"

Q:

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

1188 0

  • 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:

Find the area of a quadrilateral whose diagonal is 10 cm. And the length of the length put on it is 6 cm and 5 cm respectively. 

1185 0

  • 1
    55 sq.cm
    Correct
    Wrong
  • 2
    40 sq.cm
    Correct
    Wrong
  • 3
    45 sq.cm
    Correct
    Wrong
  • 4
    90 sq.cm
    Correct
    Wrong
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Answer : 1. "55 sq.cm"

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? 

1179 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:

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

1175 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:

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 -

1171 0

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

Q:

The curved surface area of a cylindrical pillar is $$ {264 m^{2}}$$ and its volume is $$ {924 m^{3}}$$. Find the ratio of its diameter to its height.

1169 0

  • 1
    3 : 7
    Correct
    Wrong
  • 2
    7 : 3
    Correct
    Wrong
  • 3
    6 : 7
    Correct
    Wrong
  • 4
    7 : 6
    Correct
    Wrong
  • 5
    5 : 4
    Correct
    Wrong
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Answer : 2. "7 : 3"

Q:

What is the area of a rectangle , if its diagonal s 61 cm and one of its sides is 11 cm ? 

1162 0

  • 1
    $$ 660cm^2$$
    Correct
    Wrong
  • 2
    $$ 720cm^2$$
    Correct
    Wrong
  • 3
    $$ 616cm^2$$
    Correct
    Wrong
  • 4
    $$ 633cm^2$$
    Correct
    Wrong
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Answer : 1. "$$ 660cm^2$$"

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