Volume and Surface Area Questions Practice Question and Answer

Q:

The ratio of the volume of right circular cylinder and a right circular cone of the same base and height will be:

1027 0

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

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:

1025 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:

In the figure given below, AD bisects ∠BAC. If the area of ΔABD=40 cm2 and AC=3AB, then the area of ΔABC:

1023 0

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

Q:

The length, breadth and height of a room is 21 metres, 12 metres and 16 metres. What will be the length of the largest rod that can be placed in that room?

1020 0

  • 1
    32 metres
    Correct
    Wrong
  • 2
    25 metres
    Correct
    Wrong
  • 3
    31 metres
    Correct
    Wrong
  • 4
    29 metres
    Correct
    Wrong
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Answer : 4. "29 metres"

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?

1018 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 total surface area of a hemisphere is 166.32 sq cm, find its radius? 

1015 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:

What is total surface area of a cone where, r’ is radius and ‘l’ is slant height?   

1014 0

  • 1
    πr (l + r)
    Correct
    Wrong
  • 2
    2πr (l+r)
    Correct
    Wrong
  • 3
    πrl
    Correct
    Wrong
  • 4
    π
    Correct
    Wrong
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Answer : 1. "πr (l + r) "

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 -

1009 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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