Volume and Surface Area Practice Question and Answer

Q:

If the perimeter of a circular plot is equal to the perimeter of a square plot, what will be the ratio of their areas?

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  • 1
    12:11
    Correct
    Wrong
  • 2
    14:11
    Correct
    Wrong
  • 3
    6:11
    Correct
    Wrong
  • 4
    7:11
    Correct
    Wrong
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Answer : 2. "14:11"

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

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  • 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:

The area covered by a square is 308 square cm. The length of the diagonal of the square is.

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  • 1
    16 cm
    Correct
    Wrong
  • 2
    28 cm
    Correct
    Wrong
  • 3
    24 cm
    Correct
    Wrong
  • 4
    22 cm
    Correct
    Wrong
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Answer : 2. "28 cm "

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:

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  • 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:

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 :

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  • 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:

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

1493 0

  • 1
    $$ {150 \ cm^{2}}$$
    Correct
    Wrong
  • 2
    $$ {100 \ cm^{2}}$$
    Correct
    Wrong
  • 3
    $$ {120 \ cm^{2}}$$
    Correct
    Wrong
  • 4
    $$ {160 \ cm^{2}}$$
    Correct
    Wrong
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Answer : 3. "$$ {120 \ cm^{2}}$$"

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Answer : 4. "4 : 5"

Q:

One side of the rectangular ground is 8m and its diagonal is 17m. Find the area of the ground?

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  • 1
    150 m²
    Correct
    Wrong
  • 2
    140 m²
    Correct
    Wrong
  • 3
    130 m²
    Correct
    Wrong
  • 4
    120 m²
    Correct
    Wrong
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Answer : 4. "120 m²"

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