Volume and Surface Area Questions Practice Question and Answer

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-

780 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:

A semicircle is folded to make a cone. Find the height (in cm) of the cone if diameter of the semicircle is 28 cm?

762 0

  • 1
    $$ {7\sqrt{3}}$$
    Correct
    Wrong
  • 2
    $$ {14\sqrt{3}}$$
    Correct
    Wrong
  • 3
    $$ {7\sqrt{5}}$$
    Correct
    Wrong
  • 4
    $$ {7\sqrt{13}}$$
    Correct
    Wrong
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Answer : 1. "$$ {7\sqrt{3}}$$"

Q:

In a circle, difference between the circumference and radius is 37 cm. Find the area (in cm²) of the circle?

697 0

  • 1
    616
    Correct
    Wrong
  • 2
    154
    Correct
    Wrong
  • 3
    308
    Correct
    Wrong
  • 4
    77
    Correct
    Wrong
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Answer : 2. "154 "

Q:

A spherical ball of lead 3 cm in diameter is melted and recast into three spherical balls The diameter of two of these are 1.5 cm and 2 cm respectively. The diameter of the third ball is 

776 0

  • 1
    1.4 cm
    Correct
    Wrong
  • 2
    1.8 cm
    Correct
    Wrong
  • 3
    2.1 cm
    Correct
    Wrong
  • 4
    2.5 cm
    Correct
    Wrong
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Answer : 4. "2.5 cm"

Q:

An open box is made of wood 3 cm thick. Its external dimensions are 1.36 m, 1.06 m and 8.3 dm. The cost of painting the inner surface of the box at 50 paise per 100 sq. cm (in Rs.) is 

1046 0

  • 1
    232
    Correct
    Wrong
  • 2
    246
    Correct
    Wrong
  • 3
    249
    Correct
    Wrong
  • 4
    256
    Correct
    Wrong
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Answer : 3. "249 "

Q:

The length of a hollow thick cylindrical metallic pipe is 6 cm and its total surface area including the surface at the ends is 98π sq. cm. If the outer diameter is 8 cm, then the inner diameter in cm is 

959 0

  • 1
    6.5
    Correct
    Wrong
  • 2
    7
    Correct
    Wrong
  • 3
    5
    Correct
    Wrong
  • 4
    6
    Correct
    Wrong
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Answer : 4. "6"

Q:

A right pyramid stands on a rectangular base whose sides are 24 cm and 18 cm and on the shorter side, the slant height is 17 cm. Find the volume of the pyramid.

1005 0

  • 1
    1735.5 cm3
    Correct
    Wrong
  • 2
    1152 cm3
    Correct
    Wrong
  • 3
    1733.5 cm3
    Correct
    Wrong
  • 4
    1752 cm3
    Correct
    Wrong
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Answer : 2. "1152 cm3"

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

877 0

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

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