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
A cube of side 4 cm contains a sphere touching its sides. Find the approximate volume of the gap in between.
  • A
    33.52 \(c{m^3}.\)
  • B
    30.48 \(c{m^3}.\)
    Correct
  • C
    34 \(c{m^3}.\)
  • D
    33 \(c{m^3}.\)
2
The ratio of the radii of two spheres whose volumes are in the ratio 64 : 27 is
  • A
    it is 10 : 7.
  • B
    it is 8 : 3.
  • C
    it is 4 : 3.
    Correct
  • D
    it is 16 : 9.
3
Given that the surface area of a spherical shot put is 616 \(c{m^2}.\) its diameter is
  • A
    16 cm.
  • B
    12 cm.
  • C
    18 cm.
  • D
    14 cm.
    Correct
4
The radius of a sphere is 2 \({\rm{r}}\), then its volume will be
  • A
    \({{32} \over 3}\pi {r^3}.\)
    Correct
  • B
    \(4\pi {r^3}.\)
  • C
    \({4 \over 3}\pi {r^3}.\)
  • D
    \({{8\pi {r^3}} \over 3}.\)
5
If a spherical balloon grows to twice its radius when inflated, then the ratio of the volume of the inflated balloon to the original balloon is
  • A
    it is 4 : 1
  • B
    it is 8 : 1
    Correct
  • C
    it is 5 : 1
  • D
    it is 6 : 1
6
If the total surface area of a hemisphere is 1848 \(c{m^2},\) then the diameter is
  • A
    24 cm.
  • B
    22 cm.
  • C
    26 cm.
  • D
    28 cm.
    Correct
7
Tha total surface area of a cone whose radius is \({r \over 2}\) and slant height \(2{\bf{l}}\) is
  • A
    \(\pi r\left( {{\bf{l}} + {r \over 4}} \right).\)
    Correct
  • B
    \(2\pi r{\bf{l}}.\)
  • C
    \(2\pi r({\bf{l}} + r).\)
  • D
    \(\pi r({\bf{l}} + r).\)
8
The total surface area of a cone of radius 7 m and slant height 10 m is
  • A
    561\({m^2}.\)
  • B
    280.5 \({m^2}.\)
  • C
    374 \({m^2}.\)
    Correct
  • D
    598.4 \({m^2}.\)
9
The volume of a cone is 1570 \(c{m^3}.\) If it is 15 cm high then its base area is
  • A
    514 \(c{m^2}.\)
  • B
    415 \(c{m^2}.\)
  • C
    314 \(c{m^2}.\)
    Correct
  • D
    413 \(c{m^2}.\)
10
If the slant height of a cone of base radius 7 cm is 25 cm, then its height is
  • A
    18 cm.
  • B
    36 cm.
  • C
    32 cm
  • D
    24 cm.
    Correct
11
The diameter of the base of a cone of height 15 cm and volume 770 \(c{m^3}.\) is
  • A
    10.5 cm.
  • B
    7 cm.
  • C
    21 cm.
  • D
    14 cm.
    Correct
12
A conical tent is 21 m high and the diameter of its base is 4 m. If 10 men sleep in it, then the average number of cubic dm of air space per man is
  • A
    8400.
  • B
    8800.
    Correct
  • C
    4800.
  • D
    4400.
13
A conical pandal 240 m in radius and 100 m high is made of cloth which is \(100\pi \) m wide. Then, the length of cloth used to make the pandal is
  • A
    600 m.
  • B
    624 m.
    Correct
  • C
    625 m.
  • D
    676 m.
14
The curved surface area of a cylinder and a cone is equal. If their base radius is same, then the ratio of the slant height of the cone to the height of the cylinder is
  • A
    it is 1 : 2
  • B
    it is 2 : 1
    Correct
  • C
    it is 1 : 1
  • D
    it is 2 : 3
15
If the ratio of the radii of bases of two cones is 3 : 1 and the ratio of their heights is 1 : 3, then the ratio of their volumes is
  • A
    it is 3 : 1
    Correct
  • B
    it is 1 : 2
  • C
    it is 2 : 1
  • D
    it is 1 : 3