Volume and Surface Area Questions Practice Question and Answer

Q:

The ratio of curved surface area and volume of a cylinder is 1 : 7. The ratio of total surface area and volume is 187 : 770. What is the respective ratio of its base radius and height?

1354 0

  • 1
    7:15
    Correct
    Wrong
  • 2
    8:7
    Correct
    Wrong
  • 3
    7:10
    Correct
    Wrong
  • 4
    7:12
    Correct
    Wrong
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Answer : 3. "7:10"

Q:

Area of a circle inscribed in a square is 308 cm2.The length of the diagonal of the square is

1343 0

  • 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:

Two 6 cm diameter balls dipped in a 6 cm radius cylindrical vessel of water. Find the height of water in the vessel?

1341 0

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

Q:

The curved surface area of a right circular cylinder of radius 2 cm is 264 cm2. The height of the cylinder, in cm, is

1339 0

  • 1
    42
    Correct
    Wrong
  • 2
    14
    Correct
    Wrong
  • 3
    10.5
    Correct
    Wrong
  • 4
    21
    Correct
    Wrong
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Answer : 4. "21"

Q:

Area of a rectangle is equal to the area of a circle whose radius is 14 cm. If the breadth of the rectangle is 22 cm, what is its length?

1336 0

  • 1
    24 cm
    Correct
    Wrong
  • 2
    28 cm
    Correct
    Wrong
  • 3
    26 cm
    Correct
    Wrong
  • 4
    Cannot be determined
    Correct
    Wrong
  • 5
    None of these
    Correct
    Wrong
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Answer : 2. "28 cm"

Q:

In the given figure, PQRS is square whose side is 8 cm. PQS and QPR are two quadrants. A circle is placed touching both the quadrants and the square as shown in the figure. What is the area ( in cm2 ) of the circle ?

1324 0

  • 1
    $$ {19\over 39}$$
    Correct
    Wrong
  • 2
    $$ {20\over 21}$$
    Correct
    Wrong
  • 3
    $$ {11\over 14}$$
    Correct
    Wrong
  • 4
    $$ {11\over 19}$$
    Correct
    Wrong
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Answer : 3. "$$ {11\over 14}$$"

Q:

An iron pipe 20 cm long has exterior diameter 25 cm. If the thickness of the pipe is 1 cm, then the whole surface area of the pipe?

1318 0

  • 1
    $$ {3168\ cm^{2}}$$
    Correct
    Wrong
  • 2
    $$ {3186\ cm^{2}}$$
    Correct
    Wrong
  • 3
    $$ {3200\ cm^{2}}$$
    Correct
    Wrong
  • 4
    $$ {3150\ cm^{2}}$$
    Correct
    Wrong
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Answer : 1. "$$ {3168\ cm^{2}}$$"

Q:

In the given figure, the ratio of the area of the largest square to that of the smallest square is:

1312 0

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

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