Surface Areas And Volumes CBSE Questions & Answers

Surface Areas And Volumes

This is Mathematics Class 09 Surface Areas and Volumes CBSE Questions & Answers. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
If the outer diameter of a pipe 21 m long is 1 m, then its curved surface area is
  • A
    63\({m^2}\)
  • B
    42\({m^2}\)
  • C
    66\({m^2}\)
    Correct
  • D
    21\({m^2}\)
2
The cost of cementing the inner curved surface of a 14 m deep well of radius 2 m at the rate of Rs 2 per \({m^2}\) is
  • A
    Rs 112.
  • B
    Rs 176.
  • C
    Rs 352.
    Correct
  • D
    Rs 56.
3
The diameter of the base of a cylinder of curved surface area 88 \(c{m^2}\) and height 14 cm is
  • A
    1 cm.
  • B
    1.5 cm.
  • C
    25 cm.
  • D
    2 cm.
    Correct
4
The total surface area of a right circular cylinder of height 4 cm and radius 3 cm is
  • A
    132\(c{m^2}\).
    Correct
  • B
    66 \(c{m^2}\)
  • C
    198 \(c{m^2}\)
  • D
    99 \(c{m^2}\)
5
If the lateral surface area of a cylinder is 132 \(c{m^2}\) and its height is 7 cm, then its base diameter is
  • A
    4 cm.
  • B
    6 cm.
    Correct
  • C
    5 cm.
  • D
    3 cm.
6
The circumference of the base of a right circular cylinder is 44 cm. If its whole surface area is 968 \(c{m^2}\) then the sum of its height and radius is
  • A
    16 cm.
  • B
    22 cm.
    Correct
  • C
    18 cm.
  • D
    20 cm.
7
The curved surface area of a right circular cylinder is 4400\(c{m^2}\) If the circumference of its base is 110 cm, then its height is
  • A
    38 cm.
  • B
    36 cm.
  • C
    40 cm.
    Correct
  • D
    42 cm.
8
A cylindrical piece of maximum volume has to be cut out of an iron cube of edge 4 cm. then, the maximum volume of the iron cylinder is
  • A
    \(28\pi \;c{m^3}.\)
  • B
    \(32\pi \;c{m^3}.\)
  • C
    \(16\pi \;c{m^3}.\)
    Correct
  • D
    \(24\pi \;c{m^3}.\)
9
If each bag containing rice occupies 2.1 \({m^3}\) of space, then the number of full bags which can be emptied into a drum of radius 4.2 m and height 3.5 m is
  • A
    138.
  • B
    46.
  • C
    69.
  • D
    92.
    Correct
10
If the radius of the base of a right circular cylinder is halved, keeping the same height, then the ratio of the volume of the reduced cylinder to the volume of the original cylinder is
  • A
    it is 1 : 4.
    Correct
  • B
    it is 2 : 1.
  • C
    it is 4 : 1.
  • D
    it is 1 : 2.
11
In a cylinder, if radius is halved and height is doubled, the curved surface area will be
  • A
    same.
    Correct
  • B
    halved.
  • C
    doubled.
  • D
    four times.
12
The radii of two cylinder are in the ratio 2 : 3 and their heights are in the ratio of 5 : 3. The ratio of their volumes is
  • A
    it is 20 : 37.
  • B
    it is 20 : 27
    Correct
  • C
    it is 17 : 27.
  • D
    it is 10 : 17.
13
The volume of a sphere of diameter 42 cm is
  • A
    38000 \(c{m^3}.\)
  • B
    34000 \(c{m^3}.\)
  • C
    38808 \(c{m^3}.\)
    Correct
  • D
    30000 \(c{m^3}.\)
14
The surface area of a sphere of radius 3.5 cm is
  • A
    77 \(c{m^2}.\)
  • B
    120 \(c{m^2}.\)
  • C
    154 \(c{m^2}.\)
    Correct
  • D
    154 \(c{m^2}.\)
15
The volume of a sphere is numerically equal to its surface area, then its diameter is
  • A
    1 unit.
  • B
    2 units.
  • C
    6 units.
    Correct
  • D
    3 units.