Volume and Surface Area Practice Question and Answer

Q:

If an equilateral triangle is inscribed in a circle of area 48 π square units, then the perimeter of the triangle is:

1071 0

  • 1
    72 units
    Correct
    Wrong
  • 2
    36 units
    Correct
    Wrong
  • 3
    48 units
    Correct
    Wrong
  • 4
    $${48}{\sqrt{3}}$$ units
    Correct
    Wrong
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Answer : 2. "36 units"

Q:

The diameter of a circle is equal to the perimeter of a square whose area is 3136 sq cm. What is the circumference of the circle?

1064 0

  • 1
    352 cm
    Correct
    Wrong
  • 2
    704 cm
    Correct
    Wrong
  • 3
    394 cm
    Correct
    Wrong
  • 4
    Cannot be determined
    Correct
    Wrong
  • 5
    None of these
    Correct
    Wrong
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Answer : 2. "704 cm"

Q:

The ratio of the areas of two circles is 16: 25. What will be the ratio of their circumferences?

1041 0

  • 1
    4 : 5
    Correct
    Wrong
  • 2
    3 : 2
    Correct
    Wrong
  • 3
    4 : 9
    Correct
    Wrong
  • 4
    9 : 4
    Correct
    Wrong
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Answer : 1. "4 : 5 "

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 ?

1028 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:

A wall is the form of a trapezium with height 8 m and parallel sides being 5 m and 10 m. What is the cost of painting the wall, if the rate of painting is Rs. 50 per square meter  ?

1019 0

  • 1
    Rs.5000
    Correct
    Wrong
  • 2
    Rs.3000
    Correct
    Wrong
  • 3
    Rs.6000
    Correct
    Wrong
  • 4
    Rs .4000
    Correct
    Wrong
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Answer : 2. "Rs.3000"

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 

1019 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:

A field roller, in the shape of a cylinder, has a diameter of 1 meter and length of $$ {1}{1\over4}$$ meter. If the speed at which the roller rolls is 14 revolutions per minute, then the maximum area ( in m2) that it can roll in 1 hour is:

1013 0

  • 1
    3600
    Correct
    Wrong
  • 2
    3560
    Correct
    Wrong
  • 3
    3960
    Correct
    Wrong
  • 4
    3300
    Correct
    Wrong
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Answer : 4. "3300"

Q:

A right circular cylinder is formed by rolling a rectangular sheet of metal of length 44 cm and breath 20 cm along its length. The volume of cylinder is_

1002 0

  • 1
    3080
    Correct
    Wrong
  • 2
    4090
    Correct
    Wrong
  • 3
    4095
    Correct
    Wrong
  • 4
    5000
    Correct
    Wrong
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Answer : 1. "3080 "

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