Volume and Surface Area Practice Question and Answer

Q:

From a circle of radius a, a sector, which subtend an angle π/5 at the centre has been cut off. The perimeter of the remaining part of the circle is

1425 0

  • 1
    2πa
    Correct
    Wrong
  • 2
    $$ {π\over 5}{a}$$
    Correct
    Wrong
  • 3
    $$ {7π\over 5}{a}$$
    Correct
    Wrong
  • 4
    $$ {9π\over 5}{a}$$
    Correct
    Wrong
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Answer : 4. "$$ {9π\over 5}{a}$$"

Q:

If the areas of circular ring having inner and outer radius 8 cm and 12 cm respectively is equal to the total surface area of cylinder of radius Rand height h, then h in terms of R1 will be :

1423 0

  • 1
    $$ {40-R_1\over {R_1}}$$
    Correct
    Wrong
  • 2
    $$ {40-R_1\over {R_1^{2}}}$$
    Correct
    Wrong
  • 3
    $$ {40-R_1^{2}}\over R_1$$
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 3. "$$ {40-R_1^{2}}\over R_1$$"

Q:

A cylindrical well of depth 21 m with internal radius of 13 m is dug up. The mud, so detained, is spread evenly to form a platform of dimension 52 × 13.2. What is the height of the platform?

1423 0

  • 1
    62.5 m
    Correct
    Wrong
  • 2
    37.5 m
    Correct
    Wrong
  • 3
    13.4 m
    Correct
    Wrong
  • 4
    18.2 m
    Correct
    Wrong
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Answer : 2. "37.5 m"

Q:

A rectangular grass plot 80 m × 60 m has two roads, each 10 m wide, running in the middle of it; one parallel to length and the other parallel to breadth. Find the cost of gravelling the roads at ₹ 2 per m2

1422 0

  • 1
    ₹ 2600
    Correct
    Wrong
  • 2
    ₹ 2680
    Correct
    Wrong
  • 3
    ₹ 2580
    Correct
    Wrong
  • 4
    ₹ 2500
    Correct
    Wrong
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Answer : 1. "₹ 2600 "

Q:

A polygon has 14 sides then find out No. of diagonals in that polygon. 

1422 0

  • 1
    75
    Correct
    Wrong
  • 2
    76
    Correct
    Wrong
  • 3
    77
    Correct
    Wrong
  • 4
    80
    Correct
    Wrong
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Answer : 3. "77 "

Q:

A corner of a cube of side length 8 m. When cut by a plane which bisects the sides of the cube, we get a pyramid whose volume is : 

1421 1

  • 1
    8.37 m3
    Correct
    Wrong
  • 2
    10.67 m3
    Correct
    Wrong
  • 3
    11.20 m3
    Correct
    Wrong
  • 4
    9.68 m3
    Correct
    Wrong
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Answer : 2. "10.67 m3 "

Q:

A polygon has 9 sides, what is its interior angle?

1416 0

  • 1
    140 degree
    Correct
    Wrong
  • 2
    100 degree
    Correct
    Wrong
  • 3
    120 degree
    Correct
    Wrong
  • 4
    40 degree
    Correct
    Wrong
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Answer : 1. "140 degree"

Q:

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

1411 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"

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