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:

883 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:

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

883 0

  • 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"

Q:

The length of a rectangle is 6 cm more than its width and its perimeter is 100 cm. If the area of this rectangle is closest to the area of a circle, then what is the circumference of that circle?

881 0

  • 1
    110 cm
    Correct
    Wrong
  • 2
    132 cm
    Correct
    Wrong
  • 3
    66 cm
    Correct
    Wrong
  • 4
    88 cm
    Correct
    Wrong
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Answer : 4. "88 cm"

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?

876 0

  • 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:

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

875 0

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

Q:

In the given figure if each of the outer circles have radii ‘R’, then the radius of the inner circle will be:

871 0

  • 1
    $$ {2\over ({\sqrt{2}+1})R}$$
    Correct
    Wrong
  • 2
    $$ {1\over {\sqrt{2}}}R$$
    Correct
    Wrong
  • 3
    $$ {(\sqrt{2}-1)R}$$
    Correct
    Wrong
  • 4
    $$ {\sqrt{2}R}$$
    Correct
    Wrong
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Answer : 3. "$$ {(\sqrt{2}-1)R}$$"

Q:

Find the area of triangle whose medians are 8 cm, 15 cm and 17 cm respectively?

869 0

  • 1
    $$20 cm^2$$
    Correct
    Wrong
  • 2
    $$15 cm^2$$
    Correct
    Wrong
  • 3
    $$24 cm^2$$
    Correct
    Wrong
  • 4
    $$28 cm^2$$
    Correct
    Wrong
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Answer : 1. "$$20 cm^2$$"

Q:

If the length of the diagonal of a square is $${ 10\sqrt{2}}$$ cm, then what will be the area of the square?

866 0

  • 1
    200 cm2
    Correct
    Wrong
  • 2
    100 cm2
    Correct
    Wrong
  • 3
    $${ 100\sqrt{2}}$$
    Correct
    Wrong
  • 4
    50 cm2
    Correct
    Wrong
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Answer : 2. "100 cm2"

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