Volume and Surface Area Practice Question and Answer

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 -

1043 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 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:

1042 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? 

1040 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:

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:

1037 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:

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

1033 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 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-

1030 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-

1022 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:

Two cones have their heights in the ratio 1:3 and the radii of their bases in the ratio 3:1. Find the ratio of their volumes?

1022 0

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

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